The Compline for Week days has now been published. The link is:

Compline, also known as Complin, Night Prayer, or the Prayers at the End of the Day, is the final church service (or office) of the day in the Christian tradition of canonical hours.
3 versions have been published.

1) Compline for Sunday and Holy Days

2) Compline for Easter to Pentecost

3) Compline for Weekdays & Ordinary days.