Sticks with popular filling for teeth (7)

I believe the answer is:

canines

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'teeth' is the definition.
(canine is a kind of tooth)

'sticks with popular filling' is the wordplay.
'sticks with' becomes 'canes' (cane is a kind of stick. I am not sure about the 'with' bit.).
'popular' becomes 'in' ('in' can mean trendy).
'filling' is an insertion indicator.
'canes' enclosing 'in' is 'CANINES'.

'for' is the link.

Can you help me to learn more?

(Another definition for canines that I've seen is " Dogs -- teeth".)

I've seen this clue in The Independent.

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