to ignore someone when they complain or ask for something.

In the past they've tended to turn a deaf ear to such requests. (often + to)

• cut it out
• cut loose
• cut loose someone
• cut loose something
• cut losses
• cut no ice with
• cut no ice with someone
• cut off nose to spite face
• cut off nose to spite your face
• cut off your nose to spite face
• cut off your nose to spite your face
• cut out
• cut out for
• cut out for something
• cut out something
• cut own throat
• cut someone dead
• cut someone down to size
• cut someone loose
• cut someone some slack
• cut someone to the quick
• cut some slack
• cut something down to size
• cut something loose
• cut teeth