We were seeing a resource leak:

2015/08/07 12:09:17 Get http://localhost:8080/gitlab/omnibus-gitlab.git/info/refs?service=git-upload-pack: dial tcp: lookup localhost: too many open files
2015/08/07 12:09:18 http: Accept error: accept tcp 127.0.0.1:8181: too many open files; retrying in 5ms

My guess is it was about not closing the auth response body.

Support for gitlab-git-http-server got merged upstream:
https://gitlab.com/gitlab-org/gitlab-ce/commit/d64ae5363fc17bf5592bc1a66a53763ddb9a3acc