From Longman Dictionary of Contemporary Englishtime is on your sidetime is on your sideused to say that someone is young enough to be able to wait before doing something or until something happens → time
Examples from the Corpus
time is on your side• For that matter, so could Rob, but then again, time is on his side.• When you begin identifying challenges at a relatively early age, time is on your side.• But time is on your side if you can be gentle and good-naturedly persistent.• On this occasion, they also appear confident that time is on their side.• On the other hand, both Fujimori and Cerpa seem intent on showing that time is on their side. 