Maybe halfway through acquiring something very small (6)

I believe the answer is:

midget

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'very small' is the definition.
(I've seen this before)

I don't understand the rest of the clue.

(Other definitions for midget that I've seen before include "Dwarf" , "Happy for one" , "Manikin" , "Very small" , "Little person" .)

I've seen this clue in The Times.

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