Mrs Swan perhaps doth show style (8)
I believe the answer is:
hathaway
'mrs swan' is the definition.
The definition suggests a singular noun which matches the answer.
'doth show style' is the wordplay.
'doth show' becomes 'hatha' (I am not sure about this - if you are sure you should believe this answer much more).
'style' becomes 'way' (synonyms).
'hatha'+'way'='HATHAWAY'
'perhaps' acts as a link.
Can you help me to learn more?
(Other definitions for hathaway that I've seen before include "Anne . . . . . . . . was William Shakespeare's wife" , "Celebrated wife" , "Surname of Shakespeare's wife" , "Mrs Shakespeare's maiden name" , "Shakespearean woman!" .)