Swain is a Jack of Trades as Support. He dont excels at anything specific but he is able to take on many roles. You can play him as Tank, Bruiser,Utility Mage or Pure Dmg Mage.

Pros:

+ Versatile
+ Decent Scaling
+ Always useful
+ Carry Potential
+ Extremely fun to play feeling like the Endboss

Cons:

- Squishy early
- Low Range compared to other enchanter or mages
- Cc is tricky to hit
- For higher elos, Kiting/Zoning is required

His passive Stacks life infinitly. Every time you hit someone with or you are able to pull someone with or someone dies and you collect the Soul, you earn 1 passive stack that grants you 12 permanent life and heals you for 4%/5,5%/9% of your max HP. Can Sustain you through lane and extended fights.

Unleashes Bolts that deal dmg per Bolt. Try to be as close as possible to deal more Dmg.

Your Vision Spell for checking Bushes or cancel Backports. Try to use it on every CC to gain easy stacks. Also some Champions have ability animations that are easy to spot and make them unable to move like Cait Q. Try to use W on them while they are immobile for Poke and stacks.

Try to hit it on maxrange so it instantly stuns and dont need to travel back. Also a good tool to zone enemys or cut of routes.

Your main Sustain. Try to have as many people/minions in your Aoe to drain life. Spare the second charge to slow enemys rather then using it for extra dmg.

Now we cover up in which teamcomps Swain fit. Roughly speaking always look that you are not the only Frontliner. Swain may be Tanky and can sustain himself but you shine in comps where you can engage as second or third person since you can only unleash your dmg and cc if you dont get focused and die too early. If you have a dedicated Tank or Bruiser Champions in Champ Select? Feel free to Pick Swain. Champions like: Sejuani, Ornn, Maokai, Lee Sin, Galio, Trundle or Jarvan IV are good examples for that.
Example Teamcomp that is good for Swain:

K'Sante
Lee Sin
Ryze
Jhin
Swain

Swain gets demoted to B-Tier. Solstice nerf make the Supp Upgrade options all pretty bad for you. I would recommend to go ZazZaks since it goes well with electrocute/poke variant. So good luck for your climb guys.