In case it is a dog, you could express your enthusiasm for the pet. Maybe say 'A big cocker spaniel must be so much fun! I bet it's really cute and friendly.' This way, you keep the conversation positive and friendly without making any assumptions.
It could be a story about his pet rooster that is very large. Maybe it's the biggest rooster in the neighborhood and it has some interesting behaviors like crowing really loudly or being very protective of the other chickens.
On the other hand, it could be negative. If it's about a large tool that he misuses or that causes some sort of disruption. For example, if he uses a really big hammer early in the morning and the noise disturbs everyone, then it would be a negative story.
The 'huge cock neighbor story' could potentially be about a neighbor who has a large rooster. Maybe the rooster causes some sort of commotion in the neighborhood, like crowing very early in the morning or getting into people's gardens. Or perhaps it's a misheard or misinterpreted phrase, and it was meant to be something else entirely.
Another plot could be that the neighbor has a large and unique - looking cockerel. A young child in the neighborhood becomes really fascinated by this cockerel and tries to befriend it. This leads to a series of events where the child's parents are worried about their child getting too close to the animal, but at the same time, the neighbor is really protective of his cockerel. So there's a bit of a tug - of - war situation between the child, the parents, and the neighbor, all centered around this 'huge cock'.
There was a time when my neighbor's huge old dog got lost. The whole neighborhood was looking for it. We put up posters and searched everywhere. After two days, we found it in a park not far away. It was really a relief and showed how much everyone in the neighborhood cared about the dog.
There was this time when a family of birds made a nest in my neighbor's huge old tree. It was amazing to watch the baby birds grow. My neighbor put up a little sign near the tree asking people not to disturb them. It was really a heart - warming sight and it made the whole neighborhood more aware of nature around us.
There could be some very specific, niche, or even made - up context for such a name, but generally in the world of well - known story genres like fairy tales, myths, or historical tales, this doesn't fit. It might be some sort of very local or personal creation that isn't widely known.