American music group’s good general beat (4,4)

I believe the answer is:

glee club

I'm a little stuck... Click here to teach me more about this clue!

'american music group's good general beat' is the definition.
I can't judge whether this definition defines the answer.

'good general beat' is the wordplay.
'good' becomes 'g' (abbreviation).
'general' becomes 'Lee' (Robert E. Lee - US revolutionary commander).
'beat' becomes 'club' (to hit with a club).
'g'+'lee'+'club'='GLEE CLUB'

Can you help me to learn more?

(Other definitions for glee club that I've seen before include "Society for singing part songs" , "Group of singers" , "Group singing part-songs" , "Choir" .)

I've seen this clue in The Times.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.