From his 1988 album, Rumble. The song reached #74 on Billboards Hot 100 chart on October 22, 1988, and #1 on the mainstream rock chart.
From Wikipedia
Tommy Conwell (Thomas Edward Conwell) (born January 14, 1962) is a US guitarist, songwriter and performer. He is best known as the frontman for the Philadelphia-based band Tommy Conwell & The Young Rumblers. The band had a #1 US mainstream rock hit in 1988 with “I’m Not Your Man”, which also peaked at 74 on Billboard’s Hot 100 Singles chart. The original band, consisting of Tommy Conwell (guitar, vocals), Paul Slivka (stand-up bass) and Jimmy Hannum (drums), was known for its raw, high-energy live performances which included many classic blues and rock standards. such as “Hideaway” by Freddie King, “Rumble” by Link Wray, “Time Has Come Today” by The Chambers Brothers and “Downtown Train” by Tom Waits, together with several original songs, some of which appeared on the debut album, Walkin’ on the Water. Other signature tracks such as “Demolition Derby”, which many[who?] felt exemplified the band’s raw three-piece sound, were abandoned following the shift of the band’s sound following the addition of two members, keyboard player Rob Miller and Chris Day on guitar.
Tommy Conwell and the Young Rumblers had moderate success in 1986 with their independently released album, Walkin’ On the Water. The band’s national major-label debut came when Columbia Records released Rumble in 1988, followed by Guitar Trouble in 1990. A third album was recorded, but the label chose not to release it. Conwell has made that available on his website.
Scene holding hands wit you!
Here`s a whole list of things you`re gonna have to do
Jump off the Empire State in a paper sack!
Talking lovey-dovey to a camel scare the hump off his back
Get the Queen of England`s golden shoes
Put `em on your feet and sing the St. Louis blues…Look here!
Seven nights of love and dirty laundry on your floor
Baby I can see this whole thing heading into trouble, I’m out the door
I’m not your man, I ain’t nothing 2 hold on 2, baby I ain’t what U need
There’s nothing you can do to make me wanna stay
Though I’ve been here awhile don’t think that I’ve stopped moving
I’m on my way
I’m not your man, I ain’t nothing 2 hold on 2, baby I ain’t what U need
I’m not the one to sit around with making plans (I’m not your man)
I’m not the one you’re gonna settle down & marry, I’m not your man
I’m not your man, I’m not the one U wanna cry to, baby in your sleep
I’m not your man, cause you’re looking for a hero
I’m not your man, I ain’t nothing to hold on to…
(I’m not your man)
You know you got to have some fun while you still know how
(I’m not your man)
Do a monkey-chasing line up a coconut tree (I’m not your man)
A sweet little angel that I ain’t ever gonna be! (I-I-I-I-I-ooh)
(I’m not your man…I’m not your man…I’m not your man…I-I-I-I-I-ooh)
(I’m not your man) All the way (I’m not your man) Like I said
(I’m not your man) Look here! (I-I-I-I-I-ooh)
(I’m not your man) All the way (I’m not your man) Hey
(I’m not your man) Look out, y’gotta look out! (I-I-I-I-I-ooh) Oh
(I’m not your man) All the way…[fade]
Free Fallin' 
I don’t remember it but I love the sound of the guitar…which is rare for me in the 80s…but it sounds good.
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When I found the song on a 1987 rock list I had no idea what it was but when it started to play I remembered it. I had not heard it since 1987.
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It would have been 1988, not 87.
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