Crossword Genius

To climb it is hard, being sick (4)

Ross

I believe the answer is:

hill

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'to climb' is the definition.
Although both the answer and definition are verbs in their base form, I cannot understand how one could define the other.

'hard being sick' is the wordplay.
'hard' becomes 'h'.
'being sick' becomes 'ill' ('ill' can be a synonym of 'sick').
'h'+'ill'='HILL'

'it is' is the link.

Can you help me to learn more?

(Other definitions for hill that I've seen before include "Incline" , "See 8" , "Rise" , "High mass of land" , "Elevation on land" .)

I've seen this clue in the Evening Standard.
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