Wrap a similar colored cigar with moist paper towell, especially the cap, for 15 min to 1/2 hour. This cigar will be sacrificed for its' wrapper, to make the repairs. You may need more than one wrapper.
Starting at the cap, remove the cap, and begin to loosen the tail of the wrapper. Find the seam of the wrapper, then gently begin to unwrap the cigar. Rehumidify the wrapper, flat, between two moist paper towells. The wrapper will have the pliability of skin when it is properly humidified.
Use some elmers glue diluted with water as glue. It works really well, is almost identical to the glue used for stamps.
For a really damaged cigar, rewrap the entire cigar with the new wrapper, right over the old wrapper.
Cigars are rolled begining from the foot (the end you light) to the tail/cap. Stretch the new wrapper flat with your left index finger and thumb, while rolling with the right hand.
Apply glue to the outside edge of the new wrapper, as you progress. A light layer will hold very well.
Finish by twisting the cap into a pigtail, then you have the option of leaving it, or snipping the tail, and applying a cap. It is more work, but I like caps.
There is no need to trim any excess wrapper that hangs over the foot, it will draw tight when it cures.
For patches, use a piece of wrapper that is twice the size of the repair. Apply glue to the whole underside of the repair patch, then apply the glued patch to the split or crack in the cigar being repaired.
I think thirty days is the minimum rest time for a patch, six months for a rewrap. Save all of the good size scraps of wrapper for other repairs.
Good luck, and feel free to ask if any thing is unclear. You will never have to throw away a cigar again!
Eric1989