Daughter’s head: strange place to do tattoo (4)
I believe the answer is:
drum
'place to do tattoo' is the definition.
(tattoo can mean a rhythmic drumming pattern)
'daughter's head strange' is the wordplay.
'head' suggests taking the first letters.
'strange' becomes 'rum' (synonyms).
The initial letter of 'daughters' is 'd'.
'd'+'rum'='DRUM'
(Other definitions for drum that I've seen before include "- Taps (Walt Whitman)" , "Musical instrument" , "beat" , "nightclub" , "(Revolving) cylinder" .)