Combine olive oil, lemon juice, Dijon mustard, and honey in a large pot over medium heat. Whisk until the honey dissolves completely and the liquid turns amber—this takes about three minutes and you'll see it shift from separated to unified. This poaching base is doing the real work here because it flavors the chicken from the inside out rather than just coating the outside.
Place chicken breasts into the warm (not boiling) liquid and maintain a gentle simmer for 25-30 minutes, testing with a meat thermometer for 165°F internal temperature. I always use this moment to prep my herbs and vegetables, so nothing sits around oxidizing. The gentle heat keeps the meat tender because high boiling actually breaks down protein fibers and makes everything shred-prone.
Remove chicken to a cutting board and let it rest for five minutes before cutting into bite-sized pieces. You'll notice the meat stays noticeably juicy compared to when you've roasted chicken—that poaching liquid sealed in moisture instead of drying it out. Never skip this resting period because the carryover cooking finishes the process gently.
Whisk together mayonnaise, remaining lemon juice (about 2 tablespoons), Dijon mustard, salt, and pepper in a large bowl. Taste it before adding the chicken because this dressing needs to taste slightly strong on its own—it's about to combine with fresh herbs and vegetables that will mellow it. This is my vulnerability moment: I've made this dressing too mild more times than I'd like admitting.
Add the cooled chicken pieces to the dressing and fold gently to combine, then add cilantro, mint, tomatoes, and cucumber. Fold everything together until the beautiful summer chicken salad elegant mixture looks cohesive and the herbs distribute evenly throughout. The folding motion (not stirring or beating) keeps the tomatoes from breaking down and the overall texture from becoming mushy.
Stir in the toasted almonds and pomegranate arils just before serving or within an hour of assembly. These add-ins are texture soldiers that go soft if you let them sit in dressing too long. I've learned through trial that adding them last means they stay distinct and beautiful rather than disappearing into the overall mass.