Elegiac classical artist fitting clothing the wrong way (10)

Here is my best explanation:

'elegiac classical artist' is the definition.
(Roman elegiac poet)

'fitting clothing the wrong way' is the wordplay.
'fitting' becomes 'proper' (similar in meaning).
'clothing' becomes 'suit' (suit is a kind of clothing).
'the wrong way' says the letters should be written in reverse.
'suit' written backwards gives 'tius'.
'proper'+'tius'='PROPERTIUS'