The most common and most likely answer to this crossword clue is the 11 letter word OUT-AND-OUT
I've seen this crossword clue in Financial Times
O
U
T
-
A
N
D
-
O
U
T
More clues leading to the result OUT-AND-OUT
- Total when dismissed twice?
- Definitely dismissed accepting Brown into Unionist party
- Unqualified don at two universities to broadcast
- . Complete two umpiring decisions?
- Both batsmen dismissed! Perfect
- Dismissed twice? Absolutely!
- Perfect old-fashioned party held by eccentric aunt
- Pair of decisions favouring bowler confirmed
Buddy explains!

The straight part
We know that "Unqualified" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case unqualified = out-and-out.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does OUT-AND-OUT mean?
OUT-AND-OUT adjective- Complete, utter.
- (animal husbandry) thoroughly cross-bred; a breeding strategy esp. with poultry where new roosters are circulated yearly to maintain a mongrel flock.