It is generally accepted that Access is a sub-optimal solution for any web-based applications. The usual cautions for this approach revolve around Access becoming unstable with a small number of concurrent users. If this is for reporting only, you may have better luck exporting the actual data from your Access db into something more web-appropriate like MySQL or SQL Server.
What kind of database and clients are we talking about here? What's the scope of the solution and how are your clients invested in it?
In the five years, I have been using access in both Asp and Asp.Net it has performed consistently well. No corruption. I would in this case look at a Terminal Server solution, iot is a hardware cost and does not need any major reprogramming or redesign of the database.