One may get dropped making ascent unwell (5)

I believe the answer is:

aitch

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'one may get dropped' is the definition.
(H sounds are dropped in some accents)

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

Can you help me to learn more?

(Other definitions for aitch that I've seen before include "bone" , "The letter h in full" , "the start of hives?" , "8th letter of the alphabet" , "that may be dropped" .)

I've seen this clue in The Telegraph.

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