Cut across to Detroit (6)
I believe the answer is:
motown
'detroit' is the definition.
(I've seen this before)
'cut across to' is the wordplay.
'cut' becomes 'mown' ('mown' can be a synonym of 'cut'**).
'across' indicates putting letters inside.
'mown' placed around 'to' is 'MOTOWN'.
(Other definitions for motown that I've seen before include "Detroit and American record company" , "Genre of music originally from Detroit" , "music from America" , "Detroit musical style" , "Tamla -, US soul music record label" .)