Two people are speaking. Person 1 says "I have applied for a transfer." Person 2 replies"Really? Do you mean that you are leaving?" Person 1 says "I think it's time to move on." This could mean that person 1 is not happy where he or she is for any number of reasons, or it could mean they would like to rise to a higher position in the workforce and think a transfer could be an opportunity to advance. Hope this helps.

I think move on here means( forget and forgive what made u think of leaving )

Its not clear but it looks you are talking from someone and you said him about some issue due to which you applied for transfer. And the person advised you to move on and clear all your issue instead of taking transfer.