Odd bits required, these only in pocket (5)

I believe the answer is:

teeny

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'odd' is the definition.
Both the answer and definition are adjectives. Perhaps they are linked in a way I don't understand?

I don't understand how the rest of the clue works.

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(Other definitions for teeny that I've seen before include "Minute" , "Minuscule" , "Tiny" , "Very small (informal)" , "Microscopic" .)

I've seen this clue in The Telegraph.

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