The term 'FOR CHEER' can be solved by the crossword solutions of 'ROOT' (4 letters) and 'OLE' (3 letters). 'ROOT' is a verb meaning to establish firmly or to fix in place, while 'OLE' is an interjection used to express approval or encouragement. Together, these two words form the phrase 'ROOT for cheer', which is an expression of support and enthusiasm for someone or something. It is often used as a way to show encouragement and positivity in difficult situations.