One significant challenge in the job scheduling of computing clusters for the development of deep learning algorithms is the efficient scheduling of trial-and-error (TE) job, the type of job in which the users seek to conduct small-scale experiments while monitoring their processes. Unfortunately, the existing job schedulers to date do not feature well-balanced scheduling for the mixture of TE jobs and best-effort (BE) jobs, or they can handle the mixture in limited situations at most. To fill in this niche, we propose an algorithm that can significantly reduce the latency of TE jobs in versatile situations without greatly elongating the slowdown of the BE jobs. Our algorithm efficiently schedules both TE and BE jobs by selectively preempting the BE jobs that can be, when the time comes, resumed without much delay. In our simulation study with synthetic and real workloads, we were able to reduce the 95th percentile of the slowdown rates for the TE jobs in the standard FIFO strategy by 96.6%, while compromising the median of the BE slowdown rates by only 18.0% and the 95th percentile by only 23.9%.