There’s little/no love lost between A and B
Definition 1 of 1
Pro Tip 1/3Intense Dislike
Emphasizes strong, negative feelings, not just mild dislike. 
After the merger, there was little love lost between the two management teams.
Pro Tip 2/3Mutual Feeling
Indicates that the feelings of dislike are shared between both parties. 
There's no love lost between the rival athletes; both want to win.
Pro Tip 3/3Not Recent
The phrase often implies a history of bad blood, not a one-time event. 
With a history of fierce competition, there was little love lost between the two firms.