Lyric discussion by Matsebond 

Cover art for Poison lyrics by Alice Cooper

I think this song is quite obviously about the temptation of infidelity - being strongly attracted to someone else while already in a committed relationship.

"I don't want to break these chains" Chains = the security of the committed relationship

"One look, could kill" Kill = severely threatening the security of the committed relationship

"My pain, your thrill" Your thrill = the temptress being single and hence having less at stake

The video confirms this theme, with the two different women - the blonde, Madonnaesque woman dressed in white representing the safe haven, and the dark haired, black corset clad lady representing the temptress. It is very explicit towards the end when the blonde woman literally pulls a rope and the narrator as represented by Alice Cooper approaches her, away from the temptress.