The term 'dome covering' can be solved by two crossword solutions: 'HAT' (3 letters) and 'TOUPEE' (6 letters). A HAT is a head covering typically made of fabric or straw, and is worn for protection from the elements or as a fashion accessory. A TOUPEE is a type of wig or hairpiece worn to cover baldness or thinning hair. It is usually made of human or synthetic hair and is secured to the scalp with tape or glue.