Article Woodrow oddly ignored about Roosevelt (8)
I believe the answer is:
theodore
'roosevelt' is the definition.
('Theodore Roosevelt' can be a synonym of 'roosevelt')
'article woodrow oddly ignored about' is the wordplay.
'article' becomes 'the' (the 'definite article' part of speech).
'oddly ignored' means one should take alternating letters.
'about' becomes 're' (regarding).
The alternating letters of 'woodrow' are 'odo'.
'the'+'odo'+'re'='THEODORE'
(Other definitions for theodore that I've seen before include "... Roosevelt" , "Man" , "ex-president was named thus" .)