My fellow bloggers have provided beautiful examples and illustrations of the value of tape. I encourage you to read each of their posts on this topic but here are a few highlights.
The magic of tape by Teach Preschool
Teacher Tom shares his “tape machine” and the beautiful tape sculpture that was created on his classroom door.  As two students tried to stretch a long length of tape across the floor, the tape kept sticking to the floor and Teacher Tom observed, “They were performing these experiments simultaneously, both making similar discoveries. Neither seemed frustrated, just deeply engaged in the process of problem-solving.”
Preschool Daze also shared pictures of their classroom tape ball. Another beautiful illustration of children being given the opportunity to explore, create, and work together.Brick by Brick shares awesome illustrations of how the tape was used in the block center to create roads and in the art center to create pictures and books.
Adding tape to the magnetic board | Teach Preschool

Key Points

Allowing preschoolers to freely play and manipulate tape can lead to new learning and developmental growth.

Fine motor skills are strengthened as the children work to pull, tear, stick, and manipulate the tape.

Eye-hand coordination is promoted as the children try to keep the tape from sticking to the wrong surface to soon and as they work to apply the tape successfully to the surface they have chosen.

Critical thinking skills are being challenged as children try to decide how they will be able to keep the tape from falling to the ground or stick to itself when they tear off a long strip.

Mathematical thinking is challenged as the children determine what length of tape is needed to accomplish their goal or as they create various shapes on the floor or on paper.

Creative skills are fostered as the children use the tape to make a giant tape ball or use the tape to create a picture or book.

Social Skills are promoted as children communicate, collaborate, and cooperate together to make a tape creation or keep the tape from sticking incorrectly or even when someone needs help tearing a piece of tape off of the role.
Cutting off their own tape

Make a tape donation box!

You might be thinking, I just can’t afford to let my students use up all the tape – it simply isn’t in the budget. In that case, make a tape donation box. More than likely your preschool parents have tape they don’t need collecting dust somewhere around the house or in the garage.

Set out a decorated shoebox in a prominent place and label it as your “Tape Box” Tell parents that if they happen to have tape they can donate, just drop it in the box. Any type of tape will do – colored tape, masking tape, clear tape, painter’s tape, and so on. Parents are often happy to donate simple items for the classroom and tape is an easy request.

Perhaps if you feel like you have a constant and plentyful supply of tape, you will feel more relaxed about letting your preschoolers use the tape as often as they like.
Available on Amazon