"The lyrics are generally about a man bragging about his sexual exploits (swingin') with a woman who is very attractive and who is the object of desire of many men. However, at the end of the song, the woman's father finds out about the pair's relationship....
The song title itself may be another blatant reference to sex. Here, the terms both "Cherry" and "Pie" may be used sexually, as Cherry is slang to refer to a virgin (as used in the context "pop one's cherry" or to take their virginity, specifically when breaking the hymen during sex), and Pie is slang for vagina."
I saw the lead singer interviewed and he talked about how his band was pretty much the last death rattle of 80s hair metal. He said one week he came to the record company's office and saw a giant "Warrant" banner above the reception desk. The next week it had been replaced by one that said "Nirvana" and he knew that he was in trouble.