That's the beauty of Google Apps and other cloud apps - you should be able to use Google Docs and all web apps on any device without installing any local apps (apart from a browser) - perfect for BYOD.
The issue that we have at our school is that students home devices (or BYOD) cannot read the documents that staff create. This is important for homework and for students devices in lessons. An example is that a member of staff creates a boardworks or powerpoint file, but the student cannot access it on their own device. We cannot dictate to parents what device they should buy, so we are left with one or two options: One is office 365 - but this is severely lacking in functionality - particularly in terms of collaboration if staff and students are not all running MSOffice and sharepoint. The other is Google docs which happily integrates with everything (so far). I've yet to see a student bring in a device (blackberry, IOS, Windows, Android,Chrome) that we've not been able to integrate with our infrastructure. Caveate is that we also run Citrix Xenapp for the occasion google doesn't cut it.