In generic ones, there's no symbol (4)
I believe the answer is:
icon
'no symbol' is the definition.
'icon' can be an answer for 'symbol' (I've seen this before). I am not certain of the 'no' bit.
'in generic ones there's' is the wordplay.
'in' indicates a hidden word.
'ICON' is hidden in the letters of 'generic ones theres'.
Can you help me to learn more?
(Other definitions for icon that I've seen before include "Idol" , "Image on computer screen representing facility" , "Symbol activated by mouse" , "Sacred image or picture" , "object of admiration" .)