The song you're thinking of is Love Bites by Def Leppard. Those particular lyrics are:
I don't wanna touch you too much baby
'Cos making love to you might drive me crazy
Love Bites is Def Leppard's only song to have reached number one on the Billboard Top 100 chart. The song is a power ballad and was released in 1988, following and surpassing the success of their previous single, Pour Some Sugar On Me.
About Def Leppard
Def Leppard are a hard/glam rock band from Sheffield, England. They first formed in 1977 and enjoyed their greatest success in the 1980s. The line-up has since changed, with several original members remaining; singer Joe Elliot; bassist Rick Savage; and drummer Rick Allen, who joined in 1978.
Def Leppard's discography consists of over 50 singles and 9 studio albums. As of June 2012, the band are still playing and touring together, and have sold over 100 million albums to date.