1. Whisk together the evaporated milk, lime juice, honey and chia seeds in a medium bowl. Cover and refrigerate until the seeds have plumped, about 2 hours, stirring halfway through.
2. Hull and finely chop the strawberries and stir them into the chia mixture. Spoon the strawberry-chia pudding evenly among four 3- to 4-ounce ice pop molds (it will be thick); tap the molds on the countertop to pop any air bubbles. Freeze the pops until solid, at least 8 hours and up to overnight. Let sit at room temperature for a few minutes before unmolding.
The pops will keep in the freezer for up to 2 weeks.