Few lines in "Our story" are about anything but a single, intimate moment between two people, most likely a kiss. The speaker's heart is pounding, yet the poem says it is "beating slowly" while the breathing is fast, which captures that odd mix of nervousness and calm that comes with being close to someone you care about.
The line "With a twist of my tongue I give me away" suggests the speaker is revealing their feelings without having to say them out loud. There is some risk in that, but the next line brings relief: "Luckily, I get you in return." The feeling is shared.
The ending slows everything down. Entwined fingers and meeting eyes tell a "story" that only the two of them understand. The mood is tender, private and a little breathless. The poem keeps the details of that story hidden, which makes the moment feel like it belongs only to the couple.