if something someone tells you to make you feel better about a bad situation is cold comfort, it does not make you feel better.

The doctor said only his legs are paralysed, not his whole body, but I think that will be cold comfort to him. (usually + to)

• have your eye on something
• have your feet on the ground
• have your finger on the button
• have your finger on the pulse
• have your fingers in the till
• have your guts for garters
• have your hand in the till
• have your hands full
• have your head in the clouds
• have your head screwed on
• have your head screwed on right
• have your head screwed on the right way
• have your head stuck up arse
• have your head stuck up your arse
• have your head up arse
• have your head up your arse
• have your heart set on
• have your heart set on doing something
• have your heart set on something
• have your knife into
• have your knife into someone
• have your mind on
• have your mind on something
• have your moments
• have your name in lights