The singer looks forward to seeing his girlfriend after work. Rather than going to the movies, they spend the evening at her flat, sharing supper and listening to records. The mood grows from casual anticipation into excitement and intimacy: he feels thrilled by her affection and begins to suggest that he wants to focus on her alone.
โDoesnโt seem to dig thatโ means she does not like or feel interested in the movie idea; โdigโ is informal language for liking something. A โgroovy hi-fiโ is a stylish record player or sound system, and playing records helps create a relaxed, romantic setting. When he says โyeh, yeh,โ it works less as a detailed answer than as an enthusiastic, playful expression of agreement and happiness.
The lyrics suggest a private romantic encounter, especially through the lowered lights and the idea that only the two of them matter in the world. His trembling may convey excitement or nervousness, and the song does not explain exactly what he means by wanting to leave โthose othersโ alone. It could signal a new commitment, or simply a strong feeling in the moment. The repeated refrain keeps the tone light and buoyant rather than turning the relationship into a serious declaration.