Wye-wye transformers are very common. Utilities in the US use them all over the place for service transformers.
The concerns about wye-wye transformers are generally:
Triplen harmonics can pass through the transformer - in the old days, this could cause problems with telephone interference on overhead power lines, but this is not common problem these days.
Ground faults on the secondary are seen as ground faults on the primary since the zero sequence current goes right through the transformer, essentially. This makes relaying more difficult. With a delta-wye transformer, the secondary ground faults do cause zero sequence current to flow in the primary circuit (except in the transformer delta).
Utilities like wye-wye transformers because they are generally cheaper than delta-wye and they feel they greatly reduce the risk of ferro-resonance if the transformer loses an incoming primary phase.
If I had a choice, I'd still go with a delta-wye in most applications.