The phrase "wild chase" means a fast and chaotic pursuit where someone is chasing another person or something in a frantic and uncontrolled way. Full definition
Some enemies will stand stupidly in the open, while others will perform ridiculous evasive manoeuvres that send you on wild chases across bland, lifeless environments. (gamestm.co.uk)
Greg Norman, golf's Great White Shark, charged after a Grand Slam, and though he came away with just one major, it was a merry and wild chase indeed (si.com)
But then my inner child is a 12 year old boy, or so I have been told by my friends, so I might be a little biased when it comes to action movies with lots of explosions and wild chase scenes. (eclipsemagazine.com)