That was supposed to be "Lumina". Spell checkers when you don't need them
eh?

The only car I have owned that did not have a Pontiac emblem on the hood,
was a 1997 Olds Cutlass Supreme.  This was back around 2005 or so, and the
car had the 3100 (which I assume the Lumina you are talking about
has...unless it's a Police Package, or something and has the 3800) and
around the same KM's on it too.  The engine had a very mild "tick-tick-tick"
when running.  It usually did it all the time, if memory serves.  I had my
GM dealer mechanic uncle take a look at it, and he found absolutely nothing
wrong.  In fact, the engine ran so smooth, and got such great gas mileage
that I didn't really care.  The car was bought off me by a friend, and has
over 230,000 on it now.  Still running strong.  As for the Lumina itself, my
Grandparents have a 1997.  It's very low mileage (around 70,000km's or so),
but its a damned nice car.  Rides like a dream, is very big inside, huge
trunk, and having the same 3100, is great on gas.  Only downfall is the 3100
does 0-60 in around 25 minutes, but if that doesn't concern you, I would
definitely keep the Lumina in mind.  Make sure to go over it, test drive it,
check the fluid's (to make sure the car has been taken care of), etc.
though.  You never know these days.

Hyraulic valve lifters are leaking down and slow to pump up; restricted oil
passageways (sludge) may be at fault.

The worst in history was the 1950-1952 Chevrolet powerglide engines. Low
pressure-feed (15psi) oil was introduced at the rear of the engine block at
lifter #12 and made it way serial-wise around each lifter to #1 at the
front, if it ever made it that far.  That was excellence in GM
eniggerneering.

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This isnt unusual at all and may not be serious.  There are so many
different
things that can cause a tick which disappears upon warmup.

You didnt say what engine you have, and that might be important.