"How Bridget's Lover Escaped" was new territory for its filmmaker, Georges Méliès, who was losing ground competitively against other studios and whose recent entries in his standby genres of trick films and féeries (fairy films) were losing their zest and even contained fewer of the cinematic techniques that Méliès had pioneered. Thusly, he turned to making some of his output in the comedic genre that was proving so popular for his competitors, namely Pathé. Other Méliès comedies from this time include: "The Chimney Sweep" (1906), "Robert Macaire and Bertrand", "Rouges' Tricks", "The Skipping Cheeses", "Good Glue Sticks" (all four 1907) and "Why That Actor Was Late" (1908). Many of these, as with this film, include a chase at some point.
In addition to adopting the genres of others' films, Méliès began to adopt their style, including the use of title cards and replacing his typical dissolves for direct cuts as transitions between scenes. There's also a bit of back and forth from scene to scene, but no sustained crosscutting, which a few other filmmakers at the time were employing. Shot five of characters falling off the roof is a reverse angle of scene four. On the other hand, there's a seeming temporal replay, or delay, from shots two to three, where we see one scene end with characters leaving the dining room and only see them enter the kitchen after that scene "catches up" to the time that already elapsed in the previous scene. This is a dated editing practice that was quite common during early cinema, which Méliès had used with the landing on the Moon in "A Trip to the Moon" (1902) and elsewhere. The final scene is a medium shot of the couple, a practice others also used to stand out from the normal long shot framing throughout the narrative proper.