A table leg gets broken, but it's of no importance (9)

I believe the answer is:

bagatelle

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

'it's of no importance' is the definition.
I can't tell whether this defines the answer.

'a table leg gets broken' is the wordplay.
'gets broken' is an anagram indicator.
'a'+'table'+'leg'='atableleg'
'atableleg' anagrammed gives 'BAGATELLE'.

'but' is the link.

Can you help me to learn more?

(Other definitions for bagatelle that I've seen before include "piece, one for piano" , "Something trivial" , "light piece" , "drop in the ocean!" , "musical composition" .)

I've seen this clue in The Globe and Mail.

Want a hint initially instead of a full solution? Install my app