In the context of "2025 entry application deadlines," the word "entry" refers to the year in which the applicants intend to start their program or course. So, "2025 entry" means that the deadlines mentioned are for applications from students who plan to begin their studies in the year 2025. Therefore, "2025 entry application deadlines" means the deadlines for applications for programs that start in 2025.

It sounds like "entry" to college or university. So this would be entering an educational program, presumably in the Autumn semester of 2025. "Entry" here means starting the program of study, if it is indeed an academic institution that is in question.

depends on the topic of your application i assume that entry here means admission for whatever you are applying