Blue material ripped up at ICA (7)
I believe the answer is:
erotica
'blue material' is the definition.
(blue can mean pornographic)
'ripped up at ica' is the wordplay.
'ripped' becomes 'tore' (I've seen this before).
'up' says the letters should be written backwards (in down clue: letters go upwards).
'at' means one lot of letters go next to another.
'tore' in reverse letter order is 'erot'.
'erot'+'ica'='EROTICA'
(Other definitions for erotica that I've seen before include "literature of a sort" , "writings about sex" , "Material of a sexual nature" , "pornography" , "Sexual writings and pictures" .)