Reference: Daysman
Easton
an umpire or arbiter or judge (Job 9:33). This word is formed from the Latin diem dicere, i.e., to fix a day for hearing a cause. Such an one is empowered by mutual consent to decide the cause, and to "lay his hand", i.e., to impose his authority, on both, and enforce his sentence.
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Fausets
Derived from" day" in the sense of a day of trial (1Co 4:3 margin). An arbitrator. Job 9:33; "neither is there any daysman betwixt us that might lay his hand upon us both." The umpire in the East lays his hand on both parties to mark his power to adjudicate between them. An arbitrator could have been found on a level with Job; but none on a level with Jehovah, the other Party with whom Job was at issue. We know a Mediator on a level with God, and also on a level with us, the God-man Jesus (1Ti 2:5).
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Hastings
A daysman is an arbiter. The compound arose from the use of the word 'day' in a technical sense, to signify a day for dispensing justice. The same use is found in Gr.; thus 1Co 4:3 'man's judgment' is literally 'man's day.' The word occurs in Job 9:33 'Neither is there any daysman betwixt us' (AV and RV margin 'umpire'). Tindale translates '/Exodus/21/22/type/kj2000'>Ex 21:22, 'he shall paye as the dayesmen appoynte him' (AV 'as the judges determine').
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Morish
The word signifies 'mediator,' or 'umpire,' as in the margin: one "that might lay his hand upon us both," Job 9:33: as the Lord Jesus is mediator between God and men.