Here are the possible solutions for doesn't take no for an answer clue
Answer
Clue
Relevancy
these
Clue
Answer, when pointing to this answer, to the question "Which letters answer this clue?"
persists
Clue
Doesn't take no for an answer
Definition
PERSIST, to continue resolutely
logo
Clue
What the start of each starred answer is part of, for a company that intersects that answer
Definition
a small design used as the symbol of an organisation etc.
yes
Clue
"Did you figure out the answer to this clue?" answer
evades
Clue
Doesn't answer directly
Definition
EVADE, to escape or avoid by cunning
huh
Clue
Answer that probably won't earn you any points on a game show unless the prompt is "This one-syllable sound usually indicates someone doesn't know what you're talking about"