rhyme off

verb3

1. •
   (Canada) To list or recite quickly.

   • Say, that was quite a list of expenses Heffering rhymed off. — 1944
2. •
   To make up rhymes concerning (a subject).

   • She rhymed off the girl's toys to entertain her.
3. •
   To rap over (a piece of music).

   • He rhymed off that Lionel Richie song.