Mine has done the same this year, some of the smaller branches and tips have died but I cut them back and they have started to grow again. My olive seems to get worse if I leave it where it catches the cold winter wind, so we pull it near to the house for the winter.
I was tempted to buy an olive tree recently, but didn't have the confidence to keep it alive. Thought it needed a lot of heat. Can anyone advise?
I always bring mine inside for the winterr as it is cold in Scotland!!