diff --git a/ci/code_checks.sh b/ci/code_checks.sh
index c7e644bd30cd3..cf7809c70296c 100755
--- a/ci/code_checks.sh
+++ b/ci/code_checks.sh
@@ -146,7 +146,6 @@ if [[ -z "$CHECK" || "$CHECK" == "docstrings" ]]; then
         -i "pandas.tseries.offsets.CustomBusinessMonthBegin PR02" \
         -i "pandas.tseries.offsets.CustomBusinessMonthBegin.calendar GL08" \
         -i "pandas.tseries.offsets.CustomBusinessMonthBegin.holidays GL08" \
-        -i "pandas.tseries.offsets.CustomBusinessMonthBegin.is_on_offset SA01" \
         -i "pandas.tseries.offsets.CustomBusinessMonthBegin.m_offset GL08" \
         -i "pandas.tseries.offsets.CustomBusinessMonthBegin.n GL08" \
         -i "pandas.tseries.offsets.CustomBusinessMonthBegin.normalize GL08" \
@@ -154,7 +153,6 @@ if [[ -z "$CHECK" || "$CHECK" == "docstrings" ]]; then
         -i "pandas.tseries.offsets.CustomBusinessMonthEnd PR02" \
         -i "pandas.tseries.offsets.CustomBusinessMonthEnd.calendar GL08" \
         -i "pandas.tseries.offsets.CustomBusinessMonthEnd.holidays GL08" \
-        -i "pandas.tseries.offsets.CustomBusinessMonthEnd.is_on_offset SA01" \
         -i "pandas.tseries.offsets.CustomBusinessMonthEnd.m_offset GL08" \
         -i "pandas.tseries.offsets.CustomBusinessMonthEnd.n GL08" \
         -i "pandas.tseries.offsets.CustomBusinessMonthEnd.normalize GL08" \
diff --git a/pandas/_libs/tslibs/offsets.pyx b/pandas/_libs/tslibs/offsets.pyx
index 7569f8e8864a0..3b02bf46c2f82 100644
--- a/pandas/_libs/tslibs/offsets.pyx
+++ b/pandas/_libs/tslibs/offsets.pyx
@@ -720,11 +720,24 @@ cdef class BaseOffset:
         """
         Return boolean whether a timestamp intersects with this frequency.
 
+        This method determines if a given timestamp aligns with the start
+        of a custom business month, as defined by this offset. It accounts
+        for custom rules, such as skipping weekends or other non-business days,
+        and checks whether the provided datetime falls on a valid business day
+        that marks the beginning of the custom business month.
+
         Parameters
         ----------
         dt : datetime.datetime
             Timestamp to check intersections with frequency.
 
+        See Also
+        --------
+        tseries.offsets.CustomBusinessMonthBegin : Represents the start of a custom
+            business month.
+        tseries.offsets.CustomBusinessMonthEnd : Represents the end of a custom
+            business month.
+
         Examples
         --------
         >>> ts = pd.Timestamp(2022, 1, 1)