Tablet of stone, Eolian oddly (5)
I believe the answer is:
stela
'tablet' is the definition.
(I've seen this before)
'stone eolian oddly' is the wordplay.
'stone' becomes 'st' (abbreviation).
'oddly' means one should take alternating letters (letters in the odd-numbered positions are used).
The alternate letters of 'eolian' are 'ela'.
'st'+'ela'='STELA'
'of' acts as a link.
(Other definitions for stela that I've seen before include "Standing stone" , "Stone tablet" , "Inscribed column" , "Ancient column" , "People having digs" .)