Clarke himself had been fortunate to reach that break after he successfully challenged a caught behind decision off Bishoo when there appeared little video evidence to support him.
Clarke's reprieve came after Ed Cowan (14), David Warner (42) and Ricky Ponting (4) had all fallen in the morning session.
Cowan and Warner both fell to impressive Windies skipper Darren Sammy (2-33), who drew the openers into outside edges with his nagging length.
But it was Ponting's demise, stranded after a horrendous mix-up with Watson to be run out for four following some sharp fielding by Kraigg Brathwaite, which was the lowlight of a disappointing day.
Watson turned and sprinted for a tight second run, surprising a relaxed Ponting who had settled for a single at the striker's end.
The former captain's surprise turned to fury as he was caught short in the confusion while Watson slumped to his haunches in despair.
Australia will need to find a way to avoid such mistakes again when play resumes on day four at 9.30am (2330 Tuesday AEST).
-AAP