The term IN CASE THAT can be summarized as 'in the event that, ' which is a phrase used to express a contingency or condition. It is often used to express a hypothetical situation, such as 'in case that something happens.' The crossword solution for this term is LEST, which is an adverb meaning 'for fear that' or 'in order to avoid the possibility that.' This phrase is often used to express a warning or caution, such as 'LEST something bad should happen.'