Crossword Genius

Fashionable but not quite cool clothing: rising inflation involved here (5,5)

Ross

I believe the answer is:

inner tubes

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

'not quite cool clothing rising inflation involved here' is the definition.
The definition suggests a singular noun but the answer is a plural noun.

'fashionable but' is the wordplay.
I cannot really understand how this works, but
'fashionable' could be 'in' (in can mean fashionable or trendy) and 'in' is found in the answer.
an anagram of 'but' is 'tub' which is within the answer.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Another definition for inner tubes that I've seen is " Pneumatic tyre parts".)

I've seen this clue in The Independent.
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