A diminishing sign (5)
I believe the answer is:
minus
'sign' is the definition.
(minus sign is a kind of sign)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for minus that I've seen before include "Negative arithmetic operation" , "Reduced by the subtraction of - thus?" , "(Of temperature) below zero" , "Less, without" , "Lacking; below zero" .)