Q:

Is there a limit to how many containers one can have in blob storage and seperate SAS policies

In azure blob storage.
Is there a limit to the amount of blob storage containers within a storage account?
Is the amount of policies for SAS uris limited?
Reason for asking. I am considering if its possible to have a storage account and for each user in your application give them their own container and they can access it by a shared access signature.

A:

Is there a limit to the amount of blob storage containers within a
  storage account?

No, there's no limit on the number of storage containers in a storage account. You're limited by the size of the storage account which was recently increased to 500 TB from 200 TB.

Is the amount of policies for SAS uris limited?

As far as access policies go, there's a limit of 5 access policies per container. So if you're defining all SAS URI rules in your access policy, you could only create 5 SAS URIs per container. However if you're creating SAS URI without an access policy, I don't think there's a limit on the number of SAS URIs you could create.

