the green slime usually come from PVC plasticers used around mid 1970's. It tends to drip downwards out of cables but may be ejected by pressure build-up between the cores and their insulation.
If you're sure it's coming from the incoming cable then yes, it will be the supplier that has to fix it. If it isn't getting onto terminals or switches they may just wipe it off and say it doesn't matter. It can cause switches and breakers to stick. The consumer should phone the number on his electricity bill and they should pass it on. Affected insulation can become brittle through loss of plasticisers.
If cable has it, it will not get better or stop happening.
I'm sure you recognise copper corrosion from damp or chemical contact so it isn't that.
There is a 20 year-old report from the AEA somewhere as they researched after finding it inside reactor wiring IIRC it is considered non-hazardous.
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