If you're worried about it don't use that gear...
If you're properly geared for your terrain and abilities you may never need it anyway as it usually a bail out gear.
Cross chaining for long periods of time or over a long time will wear the chain rings and cogs much more than better aligned gear choices but sometimes you don't have a choice so you ride the gear you have.
A big problem with big ring cross chaining is you are severely limited in gears when you generally most need them and if you do try to shift to a small chain ring you risk breaking the chain, throwing the chain off the rings, etc. as well as losing significant placing in the group of riders, being dramatically dropped, causing those behind you to curse you rightfully, etc.
Better to be aware and use the better gear.