The symptoms being in your left arm could be significant (perhaps a precursor of a heart condition imo) -- are you in good cardiovascular health? (low blood lipids, good one / two / one minus two minute 'heart recovery rate' measurements after high exertion, etc.)
Do routines that help open up your shoulder joint (eg. shoulder rolls) reduce your symptoms? That might suggest it's merely some form of nerve pinching going on.
Peripheral neuropathy should be ruled out first.
Underlying causes should also be investigated, such as kidney dysfunction,
deficiencies like Methylocobalamin, B6 and other deficiencies affecting nerve health, also hypothyroidism, inflammatory conditions etc.
Best wishes,
Niko