Short article: one way to get a degree (5)
I believe the answer is:
Here is my best explanation:
'a degree' is the definition.
'short article one way' is the wordplay.
'short' means to remove the last letter.
'article' becomes 'the' (the 'definite article' part of speech).
'one' becomes 'i' (Roman numeral).
'way' becomes 'rd'.
'the' with its last letter taken off is 'th'.
'to get' acts as a link.
(Other definitions for third that I've seen before include "Winning bronze medal", "In bronze position", "Less than half, rather", "Position for bronze medal", "Eroica, Beethoven's - symphony", "Musical interval", "Last of three", "One of three equal parts", "33 per cent" and "Ruthless interrogation".)