I'm guessing this has to do with something along the lines of copyright, patents or other intangibles. Check how this fits in with the rest of it.

It would be helpful to have at least a whole sentence as context and the subject area.

Cheerio,
Dierk

It would be good to know the context; i.e., exactly what tangible or intangible object is the subject of the contract.
According to Dietl/Lorenz Dictionary of Commercial, Legal, and Political Terms, Nutzung is use, utilization and Nutzungsbefugnis is the right to use, as in copyrights, license, etc. Überlassung is leaving, giving up, abandonment, relinquishment; Überlassung zur Nutzung is permitting the use (of); zeitliche Überlassung is the temporary granting of rights.
A specific term will depend on your context. HTH, Beth

It looks as if one of the parties to the contract is going to become an "authorized user" of a trademark or other intangible, as Dierk said. At the same time, aUeberfassung implies that a limitation on the usage by one or both parties will be involved. The suggestion takes these into account, to the degree of specificness that the source does.