Ultraviolet radiation causes mutations in the DNA of skin cells that have been exposed to the Sun. Will such mutations have any effect on future offspring?

Yes

Explanation:

If this mutations that occurs in the parents becomes 'fixed' meaning that the damages that occurred could not be repaired by the DNA repair system and the cell bypass the mutation allow it to remain fixed after every round of cell division. This mutation can be passed on if the mutations are present in the germ cells of the parents and its effects might be exhibited by the future offsprings