Refers to a general time, period, or season. Often used in set phrases like この時分 (around this time) or あの時分 (in those days).
It always rains a lot around this time of year.
suitable time; opportunity; chance
Indicates a good or appropriate time to do something. Often used with verbs like 来る or なる to mean 'the time has come'.
I was still young in those days.
It's about time to leave.
Now is a suitable time to begin the plan.
時分 (also read じぶん) means 'time, season, moment' and is unrelated in meaning to the pronoun 自分, despite sharing the same sound and spelling pattern.
Compound of 時 (じ, 'time') and 分 (ぶん, 'part' or 'portion'). The reading じぶん is a regular on'yomi combination. The word has been used since classical Japanese to refer to a point or period in time.