The most common and most likely answer to this crossword clue is the 11 letter word GOGGLE-EYED
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More clues leading to the result GOGGLE-EYED
Buddy explains!

The straight part
We know that "Watching too much TV, maybe" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case watching too much tv, maybe = goggle-eyed.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 GOGGLE-EYED mean?
GOGGLE-EYED adjective- Having goggle (prominent) eyes; with eyes widely opened.