First, the use of solvents is minimized. Press crews that have had the chance to work with conventional chemistries generally prefer the UV technology because their press work is easier. Certainly the move of UV curing into narrow web has been spectacular. The answer to this rhetorical question is nothing more than having an appropriate program for handling any chemistry in a pressroom. Not all materials are created equal.
Some products are safer than others.
Read the MSDS and once an understanding of the MSDS is established, any special concerns can be addressed. Use protective clothing, gloves, eye glasses and even full-face shields whenever possible. In addition, barrier creams and lotions are effective but should only be used in conjunction with gloves. If contact does occur with a UV material, wash the affected area with soap and water. Do not use solvents.