VET is to "go through" in the sense of "process" + O is "old" => "block" which is VETO

I am not really sure about ANTHEM, but it looks like the two "articles" AN + THE with the "foremost" part of "most" being M => ANTHEM which is country music??

"A tot's" in slang could be A NIPS in the sense of "a shot of alcohol"... "raised" being reversed and "adopt" indicating put "Australian" = OZ in it for a confusing clue to the philosopher SPINOZA

Someone else may have better justification!

VET is to "go through" in the sense of "process" + O is "old" => "block" which is VETO

I am not really sure about ANTHEM, but it looks like the two "articles" AN + THE with the "foremost" part of "most" being M => ANTHEM which is country music?? (edit: duh as in the music of a country.. sorry I am slow today)

"A tot's" in slang could be A NIPS in the sense of "a shot of alcohol"... "raised" being reversed and "adopt" indicating put "Australian" = OZ in it for a confusing clue to the philosopher SPINOZA

Someone else may have better justification!