Hello Neil,
The Commodore appeared first in about 1984??.. and must have gone perhaps about 1995??....its chassis for B14, B17 and B20 was derived from the previous model series....however on the Commodore the clutch action was reversed for both engine clutch and traction clutch to give a dead mans handle operation rather than the previous pull clutch lever to stop the drive on the earlier model. (Commodore B12 was derived from Suffolk Punch 30DL with single chain)
I only worked on a couple of Commodores...as they came out towards the end of my time in the mower world...however I would suspect that the adjustment would be similar to the earlier model.???
The first chain, engine to cutting cylinder, may well have an adjustable arm with a nylon slipper pad on top of the chain...this arm can be adjusted to tension the chain...I believe it had an extra stay/slide?? on the Commodore due to it not staying as adjusted on earlier model. What is important to remember is that as you adjust the cutting cylinder to bottom blade, in regular wear take up, you move the cutting cylinder away from engine sprocket hence the chain tightens..and if left unchecked it gets dead tight and trashes chain, bearings etc. Do check for any tight spots and make the adjustment to about 1/2 inch lateral movement at that point even if it means the chain is slacker at other positions...Mower shaft ends often run out of true due to previous inflicted damage..hence the tight and slack spots.
The intermediate chain, 2nd chain, and the final roller drive chain, 3rd chain,..on the previous model to Commodore adjusted both together by slightly loosening the centre shaft of the traction clutch...I seem to recall the spanner went right at the back of the whole unit with I think? a captive nut? at the back of the chassis plate..the whole unit is moved in a slot...then the fun starts..as you had to find a position that suits both chains...and then when you tighten it you find one is suddenly slack

..again adjust to the best you can acheive..again being aware of tight spots as if chains run too tight then the traction clutch plate bearing face will be wrecked....Now I stress this was the previous model...but suspect Commodore would follow similar.??.at least on early models..
Do not undo the traction clutch screws to investigate unless absolutely necessary..there are 52 ball bearings on the plate just waiting to run and hide under the workbench..
All good mower service agents will stock chain on a roll should you require new..
Do take care in any repair work...always best to remove and earth spark plug lead to avoid inadvertant start up....mowers may seem basic stuff at times but can and will "bite" you all the same.
Although Commodore is now an old model I would think all service agents would still be familiar with them..
http://www.atco.co.uk then the Atco Owners link then Service Agent search facility.
All the best,
Clive.