This is basically a request to integrate some of the functionality of File (Field) Paths into core. Here's the file field configuration page, once the module is enabled:

The redirect and active/retractive update bit can be left for contrib (or to be solved by #854); the transliteration bit is already implemented in Backdrop (admin/config/media/file-system); the redirect can be left for a separate issue (or contrib); what I find a valuable feature though is the ability to use tokens for file names and file paths. The later is what this issue here is about.
Original request
There is a feature request for this filed in the File (Field) Paths module issue queue that is marked as "closed/fixed". It states that Entity API exposes this as a token (I think it's the Entity Token sub-module actually):

Looking at our token browser though, the deepest I could get to is [node:field_image].
Recent comments
Yes indeed. We are exploring a few other more costly options, but as we are a low-resource start-up, we could save a lot of money by integrating Backdrop, CiviCRM and Ubercart for our membership...
UberPOS for Backdrop?
Hello Chrys.., It looks like it was for Drupal 6, with a Dev release for D7... Never seen it before, but it looks like an interesting module... Do you have an immediate need...
UberPOS for Backdrop?
I do have the apache status page set up ... I will look in to this really fast. BRB.
Status Report Page throws : Forbidden You don't have permission to access this resource.