The shorter chain may cause problems shifting to the larger rings and larger cogs when with some gear combos, you might run out of chain. When I install a new chain, I usually end up with a few extra links. I save these for chain repair like you needed to do. Though, in 30 years of riding each, my wife and I have never broken a chain.
Chains are fairly cheap. You might consider treating your drive train to a new one. Thought, if you have been using your current chain for a long time, your cogs/rings may be worn enough to cause a new chain to skip.