unendingchase
nounUK /ʌnˈɛndɪŋ tʃeɪs/
US /ʌnˈɛndɪŋ tʃeɪs/
A chase is a run after someone, and unending means it never stops, so an unendingchase is a running-after that never ends.
The puppy and the kitten were in an unendingchase around the living room.
OTHER MEANINGS
2. A situation where someone keeps trying to get something and never gives up.
Her unendingchase for the perfect score paid off in the end.
3. A game where one player runs after another and never stops until caught.
The kids played an unendingchase until dinner was ready.
4. A story or dream that keeps going without a clear finish.
His dream of finding treasure was an unendingchase across the sea.