Rob Laphier writes:

For testing reasons, I think this would be a great thing to have.

...

Don't read "I think this would be great" to mean that this is a high priority thing, since I can't promise this won't get stalled behind other priorities

Fair enough.

Given that Chad has pointed out the un-cached nature of the gitweb links, though, this sounds like the thing to do.

Since it sounds like the WMF is at least willing to provide the infrastructure (Git, Jenkins and Swift), can those of us outside the WMF who want to make this happen work with Chad, Antoine, and Ben to figure out how we can handle the nitty-gritty work that needs to be done?

It sounds like some knowledge transfer (which I hope would be minimally invasive) and the already-existing infrastructure would be a all that is required from the WMF to make this happen. The rest (changes for Jenkins) could be done by volunteers.