Sam's at a bar. Classic.
OK, anyways, he sees this girl, starts to talk to her, he wants to get to know her better, and she keeps talking to him, Sam knows that she's got to be interest, or else she would have left already. He wants to be with her but he says: I don't want to steal your covers, I just want to take your time.
Take your time in the song means:
I want to take your time.
Take your time, girl.
"I ain't gotta call you baby, I ain't gotta call you mine, I don't have to make you love me, I just want to take your time."