Several questions to ask. What species, how thick is the veneer, what is the diameter of the dowel? Open pore species - oaks - are more difficult than close pore - maple. Most craft shop veneer is 0.5 mm. Std U.S. plywood veneer is much thicker. Smaller diameter will be more difficult than larger. Then there are two ways to wrap the veneer. One way is for the grain of the veneer to run parallel to the length of the dowel. The other is for the veneer to be at right angles to the length of the dowel. It will be a lot easier if the veneer is parallel to the dowel, harder if at right angles. Either way the veneer should be laminated to a "carrier", - a piece of very thin cotton cloth, such as gauze or cheese cloth, or a special paper called a "fleece" that is permeable and has a high wet strength. A tea bag is made of "fleece" Its very likely that a fleece will not be available in craft shops, so use a pc of thin but strong paper. After choosing the veneer species, paint a thick coat of white glue on the veneer and let it dry at least two hours. When its dry lay the glue side down on the carrier, and put a pc of paper/cloth on top of the dry side of the veneer. Us an ordinary iron set to hot and iron the veneer, thru the paper/cloth. Start in the middle and run the iron the length of the veneer, working your way to the outside from the middle. Check to see that the veneer is firmly laminated to the paper or cloth When the veneer is laminated to the carrier it can be bent around the dowel, using care to bend it slowly. A pc of masking tape on the edges and in the middle will help prevent splitting. Completely covering the outside of the veneer with clear packaging tape before wrapping the veneer around the dowel will help in preventing splitting. Suggest trying to wrap the veneer/carrier around the dowel without glycerine/water solution, which will cause the wood fiber to expand, and then then shrink when the water evaporates. The glycerine may keep the fibers soft enough to prevent cracking, but glycerine will greatly affect the adhesion of the finishing material.