>>41634472Chaining is a thing but it only impacts Brilliant Pokemon (IVs and Egg moves).
The only thing that impacts shiny chance for wild Pokemon is the shiny charm and your total encounters with that species. These do not need to be chained or anything. At certain milestones, the game will simply perform more checks for a specific Pokemon to be shiny.
At 50 encounters with a Pokemon, all further wild encounters of that specific species will perform two checks.
At 100, three checks.
At 200, four checks.
At 300, five checks.
Finally, at 500, six checks (this is equal to shiny chance when using Masuda Method).
Shiny charm will add two further checks on top of whatever the above is, as always.
For an encounter to count towards this, you must complete it, so catching or defeating the Pokemon counts, running away does not. Trainer battles count. I'm not sure if online or Battle Tower battles count.