And I ain’t coming offa my last name cause I really can’t take no stressing

from J. Cole (Ft. Trey Songz) – Can't Get Enough Lyrics on Rap Genius

His last rap name was the ‘Therapist’, someone who helps people deal with stress.
He’s also making a reference to marriage, where you give your girl your last name. He’s saying he doesn’t want to get married cause he couldn’t put up with the stress.

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