The 25-year-old Scot helped the Light Blues win the Scottish Championship title last season, weighing in with six goals.
He has also played for Queen of the South and Peterhead after beginning his career at Aberdeen.
Clark is the Shakers' fourth signing in the space of 24 hours after goalkeeper Ben Williams, winger Zeli Ismail and defender Niall Maher.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Port Vale | 15 | 9 | 3 | 3 | 23 | 16 | 7 | 30 |
| 2 | Walsall | 14 | 8 | 3 | 3 | 27 | 15 | 12 | 27 |
| 3 | Notts County | 15 | 7 | 6 | 2 | 23 | 13 | 10 | 27 |
| 4 | Doncaster RoversDoncaster | 15 | 8 | 3 | 4 | 21 | 17 | 4 | 27 |
| 5 | Crewe AlexandraCrewe | 14 | 7 | 4 | 3 | 17 | 13 | 4 | 25 |
| 6 | MK Dons | 15 | 7 | 3 | 5 | 24 | 17 | 7 | 24 |
| 7 | Grimsby Town | 15 | 8 | 0 | 7 | 19 | 25 | -6 | 24 |
| 8 | Gillingham | 15 | 7 | 2 | 6 | 16 | 12 | 4 | 23 |
| 9 | Chesterfield | 15 | 5 | 7 | 3 | 28 | 18 | 10 | 22 |
| 10 | Bradford CityBradford | 15 | 6 | 4 | 5 | 20 | 16 | 4 | 22 |
| 11 | BarrowBarrow | 15 | 6 | 4 | 5 | 16 | 12 | 4 | 22 |
| 12 | Fleetwood TownFleetwood | 14 | 5 | 6 | 3 | 20 | 15 | 5 | 21 |
| 13 | Salford City | 15 | 5 | 5 | 5 | 14 | 17 | -3 | 20 |
| 14 | AFC Wimbledon | 12 | 6 | 1 | 5 | 18 | 10 | 8 | 19 |
| 15 | Newport CountyNewport | 15 | 6 | 1 | 8 | 19 | 26 | -7 | 19 |
| 16 | Cheltenham TownCheltenham | 15 | 5 | 3 | 7 | 19 | 22 | -3 | 18 |
| 17 | Tranmere RoversTranmere | 14 | 4 | 5 | 5 | 10 | 17 | -7 | 17 |
| 18 | Accrington StanleyAccrington | 14 | 4 | 4 | 6 | 18 | 22 | -4 | 16 |
| 19 | Bromley | 14 | 3 | 6 | 5 | 16 | 18 | -2 | 15 |
| 20 | Harrogate TownHarrogate | 15 | 4 | 3 | 8 | 12 | 21 | -9 | 15 |
| 21 | Colchester UnitedColchester | 14 | 2 | 7 | 5 | 17 | 21 | -4 | 13 |
| 22 | Swindon TownSwindon | 15 | 2 | 6 | 7 | 16 | 23 | -7 | 12 |
| 23 | Carlisle UnitedCarlisle | 15 | 3 | 2 | 10 | 13 | 28 | -15 | 11 |
| 24 | Morecambe | 15 | 2 | 4 | 9 | 14 | 26 | -12 | 10 |
| > League Two Full Table | |||||||||
