When people must take on board one or some disparaging remarks (10)
I believe the answer is:
aspersions
'remarks' is the definition.
(I have seen 'derogatory remarks' mean 'aspersions' so perhaps 'remarks' could also mean 'aspersions')
'when people must take on board one or some disparaging' is the wordplay.
I cannot really see how this works, but
'when' could be 'e' (I've seen this in other clues) and 'e' is present in the answer.
'take' could be 'r' (recipe is latin for take - r is abbreviation) and 'r' is found within the answer.
'on' could be 'o' (I've seen this in other clues) and 'o' is present in the answer.
'one' could be 'i' (roman numeral) and 'i' is located in the answer.
'some' could be 'a' and 'a' is located in the answer.
This may be the basis of clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for aspersions that I've seen before include "Slanders" , "derogatory remarks" , "slanderous accusations" .)