I don't think they will have any problems in the next ten years, but twenty years time it would be interesting to see.
Rugby is a game that seems to peak and trough with fortunes and currently Wasps are on the up, whilst coincidentally their neighbouring clubs aren't. Northampton my team are on the downward slope as are the Tigers. The Tigers have raised their head above the parapet this week re the Salary Cap, and are dismayed that it is going up. They haven't the finances to deal with clubs such as Wasps who have the extra financial backing, so in the short- medium term Wasps are doing well. (I hope Rugby doesn't go the way of football with a few dominant rich clubs as it will kill the spectacle and the competition and people will lose interest)
It will remain to see how they or other Rugby clubs do when the financial backers want out, or to reclaim their fortunes. Some clubs have survived and done well whilst others haven't, and Wasps have seen this happen before, so may have learned from their nomadic existence at QPR and Wycombe, or may not. This isn't just for Wasps though, it could be the case with other Rugby clubs, and Football clubs...look at us!