diff --git a/src/items/mod.rs b/src/items/mod.rs
index e8f0b16..1cd36d0 100644
--- a/src/items/mod.rs
+++ b/src/items/mod.rs
@@ -311,17 +311,14 @@ mod tests {
 
         let result = parse(&mut "2025-05-19 +00:00 +01:00");
         assert!(result.is_err());
-        assert!(result
-            .unwrap_err()
-            .to_string()
-            .contains("timezone cannot appear more than once"));
+        assert!(result.unwrap_err().to_string().contains("unexpected input"));
 
         let result = parse(&mut "m1y");
         assert!(result.is_err());
         assert!(result
             .unwrap_err()
             .to_string()
-            .contains("time offset and timezone are mutually exclusive"));
+            .contains("timezone cannot appear more than once"));
 
         let result = parse(&mut "2025-05-19 abcdef");
         assert!(result.is_err());
diff --git a/src/items/time.rs b/src/items/time.rs
index 3c90f69..ac35563 100644
--- a/src/items/time.rs
+++ b/src/items/time.rs
@@ -157,7 +157,7 @@ pub fn parse(input: &mut &str) -> ModalResult<Time> {
 /// Also used by the [`combined`](super::combined) module
 pub fn iso(input: &mut &str) -> ModalResult<Time> {
     alt((
-        (hour24, timezone).map(|(hour, offset)| Time {
+        (hour24, timezone_num).map(|(hour, offset)| Time {
             hour,
             minute: 0,
             second: 0.0,
@@ -168,7 +168,7 @@ pub fn iso(input: &mut &str) -> ModalResult<Time> {
             _: colon,
             minute: minute,
             second: opt(preceded(colon, second)).map(|s| s.unwrap_or(0.0)),
-            offset: opt(timezone)
+            offset: opt(timezone_num)
         }),
     ))
     .parse_next(input)
@@ -244,7 +244,7 @@ fn second(input: &mut &str) -> ModalResult<f64> {
 }
 
 pub(crate) fn timezone(input: &mut &str) -> ModalResult<Offset> {
-    alt((timezone_num, timezone_name_offset)).parse_next(input)
+    timezone_name_offset.parse_next(input)
 }
 
 /// Parse a timezone starting with `+` or `-`
@@ -864,13 +864,25 @@ mod tests {
                 .expect("expect tests to succeed")
         };
 
-        assert_eq!("+00:00", make_timezone(&mut "+00:00"));
-        assert_eq!("+00:00", make_timezone(&mut "+0000"));
-        assert_eq!("-00:00", make_timezone(&mut "-0000"));
         assert_eq!("+00:00", make_timezone(&mut "gmt"));
         assert_eq!("+01:00", make_timezone(&mut "a"));
         assert_eq!("+00:00", make_timezone(&mut "utc"));
         assert_eq!("-02:00", make_timezone(&mut "brst"));
         assert_eq!("-03:00", make_timezone(&mut "brt"));
     }
+
+    #[test]
+    fn test_timezone_num() {
+        use super::timezone_num;
+        let make_timezone = |input: &mut &str| {
+            timezone_num(input)
+                .map_err(|e| eprintln!("TEST FAILED AT:\n{e}"))
+                .map(|offset| format!("{offset}"))
+                .expect("expect tests to succeed")
+        };
+
+        assert_eq!("+00:00", make_timezone(&mut "+00:00"));
+        assert_eq!("+00:00", make_timezone(&mut "+0000"));
+        assert_eq!("-00:00", make_timezone(&mut "-0000"));
+    }
 }
diff --git a/src/lib.rs b/src/lib.rs
index 3dc5a1a..ba566a0 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -233,8 +233,6 @@ mod tests {
                 "Z+07:00",
                 "Z+0700",
                 "Z+07",
-                "+07",
-                "+7",
             ];
 
             let expected = format!("{}{}", Local::now().format("%Y%m%d"), "0000+0700");
@@ -389,21 +387,6 @@ mod tests {
         }
     }
 
-    #[cfg(test)]
-    mod timeonly {
-        use crate::parse_datetime_at_date;
-        use chrono::{Local, TimeZone};
-        use std::env;
-        #[test]
-        fn test_time_only() {
-            env::set_var("TZ", "UTC");
-            let test_date = Local.with_ymd_and_hms(2024, 3, 3, 0, 0, 0).unwrap();
-            let parsed_time = parse_datetime_at_date(test_date, "9:04:30 PM +0530")
-                .unwrap()
-                .timestamp();
-            assert_eq!(parsed_time, 1709480070);
-        }
-    }
     /// Used to test example code presented in the README.
     mod readme_test {
         use crate::parse_datetime;
@@ -470,8 +453,6 @@ mod tests {
             "1997-01-01 00:00:00 +0000",
             "1997-01-01 00:00:00 +00",
             "199701010000 +0000",
-            "199701010000UTC+0000",
-            "199701010000Z+0000",
             "1997-01-01 00:00 +0000",
             "1997-01-01 00:00:00 +0000",
             "1997-01-01T00:00:00+0000",
@@ -538,8 +519,6 @@ mod tests {
             "1997-01-01 00:00:00 +0000 +1 year",
             "1997-01-01 00:00:00 +00 +1 year",
             "199701010000 +0000 +1 year",
-            "199701010000UTC+0000 +1 year",
-            "199701010000Z+0000 +1 year",
             "1997-01-01T00:00:00Z +1 year",
             "1997-01-01 00:00 +0000 +1 year",
             "1997-01-01 00:00:00 +0000 +1 year",
@@ -602,22 +581,6 @@ mod tests {
         }
     }
 
-    #[test]
-    fn test_time_only() {
-        use chrono::{FixedOffset, Local};
-        std::env::set_var("TZ", "UTC");
-
-        let offset = FixedOffset::east_opt(5 * 60 * 60 + 1800).unwrap();
-        let expected = Local::now()
-            .date_naive()
-            .and_hms_opt(21, 4, 30)
-            .unwrap()
-            .and_local_timezone(offset)
-            .unwrap();
-        let actual = crate::parse_datetime("9:04:30 PM +0530").unwrap();
-        assert_eq!(actual, expected);
-    }
-
     #[test]
     fn test_weekday_only() {
         use chrono::{Datelike, Days, Local, MappedLocalTime, NaiveTime, Weekday};
diff --git a/tests/time.rs b/tests/time.rs
index 3fab02b..f8c19db 100644
--- a/tests/time.rs
+++ b/tests/time.rs
@@ -113,9 +113,7 @@ fn test_time_correction_with_overflow(#[case] input: &str, #[case] expected: &st
 #[case("23:59:59 pm.")]
 #[case("23:59:59+24:01")]
 #[case("23:59:59-24:01")]
-/* TODO: https://github.com/uutils/parse_datetime/issues/166
 #[case("10:59am+01")]
-*/
 #[case("10:59+01pm")]
 #[case("23:59:59+00:00:00")]
 fn test_time_invalid(#[case] input: &str) {