CE pax yes but not if on an EU passport
LHR T5 arrivals
If you have an EU passport with a chip in it you can use the automatic ePassport gates.
Fast Track Immigration is available from 05:15 to 22:30 for the following non-EU passport holders:
customers travelling in First, Club World or Club Europe (plus one guest)
Executive Club Gold and Silver Members (plus one guest)
oneworld Emerald and Sapphire members (plus one guest)
Same rules for T3 as well