Crossword Genius

Finished with depression after hospital visits (7)

Ross

I believe the answer is:

through

I'm a little stuck... Click here to teach me more about this clue!

'finished' is the definition.
(similar in meaning)

'depression after hospital visits' is the wordplay.
I cannot quite see how this works, but
'hospital' could be 'h' (abbreviation for hospital on maps) and 'h' is found in the answer.
'depression' could be 'trough' (trough is a kind of depression) and 'trough' is present in the leftover letters.
No letters remain.
This may be the basis of the clue (or it may be nonsense).

'with' is the link.

Can you help me to learn more?

(Other definitions for through that I've seen before include "By way of - exhausted" , "made it to the next stage" , "clear" , "Finished; by way of" , "Using" .)

I've seen this clue in The Independent.
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