Crossword Genius

Eastender's hat refurbishment takes time, on reflection (6)

Ross

I believe the answer is:

titfer

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'reflection' is the definition.
Both the definition and answer are singular nouns.
Maybe you can see a link between them that I can't see?

I don't understand the remainder of the clue.

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(Other definitions for titfer that I've seen before include "A Cockney's hat" , "Headgear" , "Fitter (anag.)" , "Hat (informal)" , "Cockney rhyming slang for hat" .)

I've seen this clue in The Independent.
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