I would definitely try and get to listen to a cold start, you will feel mugged off if yours clatters the first cold start after you have bought it, there is no other inspection test for this problem.
In 2009 BMW issued an updated service information bulletin for N52 cars built up to approx Dec 2008 when up-rated HVA/Head parts were fitted. They deleted previous advice to bleed the system and advised replacement of the head/HVA and associated parts.
Example of noise, harmless!? my old diesel sounded better!
https://youtu.be/lk_XKnPJKAo
SIB Extract dated September 2009
This Service Information bulletin supersedes SI B11 09 07 dated January 2009.
SUBJECT
Intermittent Hydraulic Valve Adjuster (HVA) Noise
MODEL
All E82, E83, E88, E85, E86, E60, E61, E70, E90, E91, E92 and E93 vehicles with N51, N52 or N52K engines produced approximately up to November 31st 2008; refer to cylinder head casting identification attachment.
SITUATION
An occasional ticking or rattling noise from the camshaft hydraulic valve lifters (HVA) may occur during cold engine starts, due to frequent short-distance driving, or the noise may occur for an extended period of time even though the engine is at operating temperature.
Improved parts were phased into production beginning on 10/1/2008 and fully implemented on November 31st 2008.
CORRECTION
Do not perform the bleeding procedure that was previously provided in SI B11 09 07 which has now been deleted.
All vehicles produced between 10/1/2008 and 11/31/2008 must have each vehicle’s cylinder head casting number identified before hydraulic valve lifters (HVA) replacement, due to staggered implementation. Refer to the attachment for the casting number location. Vehicles produced after 11/31/2008 have already been fitted with improved parts. Vehicles produced prior to 10/1/2008 will require the new parts.