English not crazy for flashy displays (4,6)
I believe the answer is:
neon lights
'flashy displays' is the definition.
(displays of flashing lights)
'english not crazy' is the wordplay.
'crazy' is an anagram indicator.
'english'+'not'='englishnot'
'englishnot' is an anagram of 'NEON LIGHTS'.
'for' acts as a link.
(Other definitions for neon lights that I've seen before include "By which to 'largely' advertise" , "Signs of the city?" .)