Failures in DNA replication are a potent force for driving genome instability. The proteins which form the replisome, the DNA replication machinery, play a fundamental role in preventing replicative catastrophes. The Tim (TIMELESS/TIMEOUT) and Tipin proteins are two conserved replisome associated proteins which have functions in preventing replication fork collapse and replicative checkpoint signalling in response to factors which slow the progression of the replisome. Intriguingly, TIMELESS family members have been implicated in the regulation of the biological clock, giving a tantalising pointer to a possible link between DNA replication and circadian rhythm control. Here we report on our current understanding of the many facets of these protein families in maintaining genome stability and replication checkpoint control.