Possible Clues:

• Keen on men and women, faction split in half
• Tick caught by mite cut in half
• Piece -- dry on the inside -- split in half
• Separate part that's dry inside
• Slice down the middle
• Cross bishop breathes irregularly etc
• Split or part after hugging a moment
• Cut into two parts
• Separate taste, as some wines drunk
• Cut 12 Down