The most common and most likely answer to this crossword clue is the 12 letter word HOUSEHUSBAND
I've seen this crossword clue in The Times
H
O
U
S
E
H
U
S
B
A
N
D
More clues leading to the result HOUSEHUSBAND
Buddy explains!
The straight part
We know that "Fellow at home" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case fellow at home = househusband.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 HOUSEHUSBAND mean?
HOUSEHUSBAND noun- A man who tends to his home as a housekeeper or homemaker; the male counterpart to a housewife.