Is this an officially licensed Dragon Ball shirt?

The listing does not state a license. Licensed Dragon Ball apparel usually carries an official tag and copyright mark on the label or print. Check the label if authenticity matters to you.

Will the print crack or fade?

That depends on the printing method. Direct-to-garment and screen prints hold up better than cheap heat transfers. Wash inside out in cold water and skip the dryer to slow fading.

It is a standard crew-neck T-shirt cut. Anime graphic tees often run small, so check the measurements against a shirt you already own rather than relying on the letter size.

It is a cotton T-shirt, the usual base for anime graphic tees. Heavier cotton feels sturdier and holds the print better; lighter cotton is cooler but thinner.