Clean the squid if needed, then rinse under cold water and pat dry. Slice the squid into thin rings or bite-sized strips.
Bring a large pot of water to a gentle boil. Blanch the squid for 1 to 2 minutes, then immediately transfer it to an ice bath.
Drain the squid thoroughly and pat it dry with paper towels. Refrigerate while preparing the remaining ingredients.
Thinly slice the cucumber, julienne the carrot, and slice the green onions. Place all vegetables into a large mixing bowl.
Whisk together the soy sauce, rice vinegar, sesame oil, honey, grated ginger, and minced garlic until smooth.
Add the chilled squid to the vegetables. Pour the dressing over the salad and gently toss until evenly coated.
Cover the bowl and refrigerate for 30 minutes to allow the flavors to blend.
Transfer to a serving bowl, garnish with toasted sesame seeds and green onions, then serve chilled.