To get a shiny Dratini in Pokemon Crystal you need to find one in the wild or hatch one. This is extremely rare though with a 1 in 8192 chance of the wild or hatched Dratini being a shiny. There is no way in Pokemon Crystal to improve these odds.
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In Pokemon Crystal you can find Dratini in Dragon's Den and Route 45. To find and catch Dratini you will need to use the Good Rod or Super Rod.
You could get a shiny Pokemon for crystal but you need luck to catch one ("_")
To get a shiny dratini, go to Dragon's Den (make sure you have a space on your team). Answer the Dragon Master's questions. Exit and talk to Claire, who will give you a TM (Dragon Pulse). Then go back to the Dragon Master. Before you talk to him, SAVE THE GAME. Then, when you talk to him, he will give you a dratini. Check its summary to see if it is shiny or not. If it's not shiny, switch off your DS and then switch it back on. Repeat this until you finally get a shiny dratini. (Note: this may take from as little as 5 turns to 10,000. It all depends on your luck. If you REALLY want this pokemon, just have patience and keep on trying. Remember, this could take WEEKS or even MONTHS, because the chance of getting a shiny is about 1 in 8,000+)
You can't evolve Togetic in Pokemon Crystal as Shiny stones did not exist in Crystal. Togekiss was also introduced in Gen4. Crystal is Gen 2?
after u defeated Claire she will sent u to the dragon's den there use a old rod and u will get a dratini.