Hit up a half century, frequently (4)

I believe the answer is:

loft

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'hit up' is the definition.
'loft' can be an answer for 'hit' (lofting is a kind of hitting). I'm unsure of the 'up' bit.

'a half century frequently' is the wordplay.
'a half century' becomes 'l' (I've seen this in other clues).
'frequently' becomes 'oft' (synonyms).
'l'+'oft'='LOFT'

Can you help me to learn more?

(Other definitions for loft that I've seen before include "Propel through the air" , "Room At The Top" , "Open space at the top of a building" , "Kick high in the air" , "Attic" .)

I've seen this clue in the Evening Standard.

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