The most common and most likely answer to this crossword clue is the 6 letter word HORNED
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More clues leading to the result HORNED
Buddy explains!

The straight part
We know that "having outgrowth on head" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case having outgrowth on head = horned.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 HORNED mean?
HORNED adjective- Having horns.
- Cuckolded
- (of an animal) To assault with the horns.
- To furnish with horns.
- To cuckold.