Woman, giddy aunt, carrying large spider (9)
I believe the answer is:
tarantula
'spider' is the definition.
(tarantula is a kind of spider)
'woman giddy aunt carrying large' is the wordplay.
'woman' becomes 'tara' (**).
'giddy' is an anagram indicator.
'carrying' means one lot of letters goes inside another.
'large' becomes 'l'.
'aunt' with letters rearranged gives 'ntua'.
'ntua' going around 'l' is 'ntula'.
'tara'+'ntula'='TARANTULA'
(Other definitions for tarantula that I've seen before include "web architect" , "A large hairy tropical spider" , "Creepy-crawly" , "hairy creature" , "A big hairy spider" .)