Untrue statement about character (5)

I believe the answer is:

fibre

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

'character' is the definition.
(I know that character can be written as fibre)

'untrue statement about' is the wordplay.
'untrue statement' becomes 'fib' (fib is a kind of statement. I am not sure about the 'untrue' bit.).
'about' becomes 're' ('re' means regarding or about).
'fib'+'re'='FIBRE'

Can you help me to learn more?

(Other definitions for fibre that I've seen before include "In brief, a thread" , "Coarse plant food, low in nutrients" , "(Material composed of) thread(s)" , "Long fine thread" , "Thread, filament" .)

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

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