Two AdWords Accounts - Will I get shut down

Hello - My client has a larger agency run an (1) AdWords campaign (via their own dashboard) and I generally run smaller campaigns based on new sales/offers during their season. The larger agency has said that if we continue the 2nd AdWords campaign we run the risk of being shut down by Google. We have done this for years without a problem however since the new verification process is in place I'm concerned about being shut down.

Is the larger agency proving good advise...?

If it's running ads for the same website you could get done for double serving.