The phrase "has the stomach for" as a crossword clue most likely corresponds to the answer "ABIDE," which means to endure or tolerate, fitting the meaning of having the stomach for something. This solution was featured recently in the New York Times Crossword and others. Other related answers for "stomach" in crosswords include words like GUT, BELLY, TUMMY, and BEAR, depending on the clue context and word length.
For the exact phrase "has the stomach for," "ABIDES" is also a recognized answer in crossword databases.
Thus, if the clue is "has the stomach for," "ABIDE" or "ABIDES" are highly probable answers depending on the puzzle's word length requirements.