Bloodsucker in a place of rest (6)

I believe the answer is:

bedbug

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'bloodsucker' is the definition.
(I've seen this before)

'place of rest' is the wordplay.
'place' becomes 'bed' (bedding is a kind of placing).
'of rest' becomes 'bug' (I can't justify this - if you can you should give a lot more credence to this answer).
'bed'+'bug'='BEDBUG'

'in a' is the link.

Can you help me to learn more?

(Other definitions for bedbug that I've seen before include "Little sucker" , "Insect in the mattress, perhaps?" , "Night-time bloodsucker" , "Bloodsucker's" , "Night-time pest" .)

I've seen this clue in the Evening Standard.

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