Drinks to hard split in rough treatment (5,6)

I believe the answer is:

short shrift

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'rough treatment' is the definition.
'short shrift' can be an answer for 'treatment' (short shrift is a kind of treatment). I am not sure about the 'rough' bit.

'drinks to hard split' is the wordplay.
'drinks' becomes 'shorts'.
'to hard' becomes 'h' (abbreviation used in pencil classifications).
'split' becomes 'rift' (I've seen this in another clue).
'shorts'+'h'+'rift'='SHORT SHRIFT'

'in' acts as a link.

Can you help me to learn more?

(Other definitions for short shrift that I've seen before include "Summary treatment of a matter" , "Curt treatment" , "Brief and unsympathetic treatment" .)

I've seen this clue in The Mirror.

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