Scoff at and get shot of one silly clue (8)
I believe the answer is:
ridicule
'scoff at' is the definition.
(thesaurus)
'shot of one silly clue' is the wordplay.
'shot of' becomes 'rid' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'one' becomes 'i' (Roman numeral).
'silly' indicates an anagram.
'clue' with letters rearranged gives 'cule'.
'rid'+'i'+'cule'='RIDICULE'
'and get' acts as a link.
Can you help me to learn more?
(Other definitions for ridicule that I've seen before include "Laugh at or deride" , "satire" , "Meek" , "Pour scorn on" , "Mock, make fun of." .)