Robert,
If you have your grandfather's service number, then you could try contacting the Fleet Air Arm Museum through their website at...
http://www.fleetairarm.com/
I have used them in the past to obtain service records of family members, and they hold service records for both the Royal Navy, and the Royal Naval Reserve, etc.
I did try the National Archives website, http://www.nationalarchives.gov.uk/documentsonline/, but the only Alexander Clyne that comes up is for the Royal Naval Reserve - an Alexander Baillie Clyne of Wick. But, bear in mind that this is only representative of the documents which are searchable online.
I would imagine the Fleet Air Arm museum would be your best bet if you have Alexander's service number.
Steven
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