You can buy ladybirds online somewhere. Have a search, I can't remember where we bought some previously, sorry. Otherwise try spraying the plant with a washing-up-liquid and warm water solution then pick as many off as possible alternatively if you think your honeysuckle will take it, blast them off with a high pressure water hose. The washing up liquid is too slippery for the aphids to hold on when you wash them off.
Definitely washing up liquid, but very dilute. Spray on, leave for 10 minutes or so and then spray again with clean water.
I can't remember the exact science behind it but I think the detergent either blocks the aphids' breathing holes or breaks down their waxy cuticle layer and this blocks their breathing holes. Something like that anyway.