While the time seems short in this level it’s the Fuzzies that are your problem. Move quickly from the start over to the ? Block for a Super Leaf then jump over to the Cloud Platforms and then straight up. Wait for the block in the middle to slide out of the way then jump into the alcove it reveals to get the Stamp . Continue up from the right side then rush back left up the teetering platform. Make the jump to a Cloud Platform on the right side with Green Star #1 underneath.
Use a Ground Pound to push through and grab it then quickly pop up to the top of the area. Now you need to continue right in a hurry but don’t go so fast that you pass by Green Star #2 at the top of the teetering platform. At this point you’ll start finding Jump Panels to launch higher and higher, outpacing the Fuzzies. One Jump Panel can launch you past platforms that slam shut, do so and land on the first one to reach the hole where Green Star #3 resides then pop back out climbing to the top.
Use the door at the end of the path then the see-saw platform to cap the Goal Pole.