Lost in thought in having escaped Titanic: going to break up (10)
I believe the answer is:
cogitating
'lost in thought' is the definition.
'in having escaped titanic going to break up' is the wordplay.
'having escaped' indicates named letters should be taken away.
'to break up' indicates an anagram.
'titanic'+'going'='titanicgoing'
'titanicgoing' with 'in' removed is 'titanicgog'.
'titanicgog' anagrammed gives 'COGITATING'.
I've seen this clue in The Guardian.
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