Crossword Genius

Part of a shelter rented again (5)

Ross

I believe the answer is:

relet

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'part of a shelter rented again' is the definition.
I can't tell whether this defines the answer.

'part of a shelter rented' is the wordplay.
'part of a shelter' becomes 're' (I can't explain this - if you can you should believe this answer much more).
'rented' becomes 'let' (I've seen this before).
're'+'let'='RELET'

Can you help me to learn more?

(Other definitions for relet that I've seen before include "Allowed use of premises for payment - again" , "Rent out (room) again" , "Grant tenancy again" , "hire out again" , "take in new tenant" .)

I've seen this clue in the Evening Standard.
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