Rifle shot gets you bit of a promotion (5)

I believe the answer is:

flier

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'promotion' is the definition.
(flier is a kind of promotion)

'rifle shot gets you bit of a' is the wordplay.
'rifle' anagrams to 'FLIER'.
Though, I'm unsure how this is indicated.

Can you help me to learn more?

(Other definitions for flier that I've seen before include "Rifle for airman" , "Circular" , "Risk" , "Aviator" , "PO, for example" .)

I've seen this clue in The Telegraph.

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