Hi Geoff,
Instructions on how to post photos here.
You said 'To say I'm a complete novice is a massive understatement. Nevertheless, I took it apart to clean and tidy it up and all seems good, there don't appear to be any broken or worn parts. But having reassembled it…'
May I take the opportunity to repeat a bit of advice? When a novel toy is acquired, whether second-hand or brand-new, beginners should resist the temptation to strip it down. It's the devil trying to lead you astray!
A full strip-down is a good way of making exciting new problems before the owner knows what he's doing, or what to look for, or understands what matters and what doesn't. Be aware that a dirty used machine could be in excellent condition. If it ain't broke, don't fix it.
Nothing wrong with starting with a light clean and lube job, but don't do anything intrusive.
First turn the chuck by hand to make sure nothing's jammed and the controls work as expected. Take notes, don't attempt to fix anything yet.
With second-hand machines, carefully inspect the electrics looking for damaged cables, broken switches – anything shocking must be fixed. In particular make sure the machine is earthed back to the plug before plugging in.
If a jam is found, identify the cause and fix it. (Depending on what it is, may be a good idea to get forum advice. Like as not it will be obvious.)
When the machine turns freely, next step is to power-up. This may reveal motor or bearing trouble, again take notes rather than leaping in. Let the lathe run for several minutes and confirm nothing gets hot. Listen for harsh noises, knocking, rhythmic changes, anything that sounds suspicious.
At this point review the list. With luck it's a blank page! Don't fret if several concerns appear – many lathe faults don't matter much, or are easily fixed.
Assuming the motor spins the chuck OK, now is the time to cut metal. This is the best way in my opinion to identify serious faults and maladjustments like loose or wonky gibs. With a sharp tool, try facing and turning down a metal rod. I recommend brass to start with because it's forgiving. Avoid testing on scrap or DIY store metal because many alloys don't machine well. EN1A and EN1A-Pb are good to cut, otherwise look for metal where the spec mentions 'free-cutting' or 'good machinability'. Screw-cutting is another good test, but may be beyond a beginner.
All being well, the machine will produce straight cuts along and across the face with good finish. Tapers and poor finish will need research as will stalling, chatter, vibration, etc. Again, write a list: the fault may be the operator, cutting tool, or material rather than the machine.
Don't be afraid to ask on the forum – there are no stupid questions! Also, Sparey's 'The Amateur's Lathe' – is excellent.
Provided it works without serious concern, use the lathe for several weeks to get a feel for it and how well, or badly, it works. Now, the owner is better placed to start fixing things, and to judge what matters and what doesn't. The more experience the better – after a year or two it becomes much easier to get results even out of difficult metals and wonky machines. It's also much easier to identify faults and to gauge how difficult or costly they will be to fix. And to know your own limitations – I'm still learning after 8 years…
Enjoy!
Dave