Oddly, a shy male terrier (8)
I believe the answer is:
sealyham
'terrier' is the definition.
(Sealyham terrier is an example)
'oddly a shy male' is the wordplay.
'oddly' indicates an anagram.
'a'+'shy'+'male'='ashymale'
'ashymale' is an anagram of 'SEALYHAM'.
(Other definitions for sealyham that I've seen before include "A shy male (anag) - dog" , "5 [MANS BEST FRIEND]" , "Breed of terrier" , "Short-legged terrier" , "Wire-haired terrier" .)