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 | 16 | 10 | 3 | 3 | 24 | 16 | 8 | 33 |
| 2 | Crewe AlexandraCrewe | 15 | 8 | 4 | 3 | 19 | 13 | 6 | 28 |
| 3 | Doncaster RoversDoncaster | 16 | 8 | 4 | 4 | 22 | 18 | 4 | 28 |
| 4 | Walsall | 14 | 8 | 3 | 3 | 27 | 15 | 12 | 27 |
| 5 | MK Dons | 16 | 8 | 3 | 5 | 27 | 19 | 8 | 27 |
| 6 | Notts County | 16 | 7 | 6 | 3 | 23 | 15 | 8 | 27 |
| 7 | Grimsby Town | 16 | 8 | 1 | 7 | 19 | 25 | -6 | 25 |
| 8 | AFC Wimbledon | 14 | 7 | 2 | 5 | 23 | 13 | 10 | 23 |
| 9 | Bradford CityBradford | 16 | 6 | 5 | 5 | 21 | 17 | 4 | 23 |
| 10 | Gillingham | 15 | 7 | 2 | 6 | 16 | 12 | 4 | 23 |
| 11 | Chesterfield | 16 | 5 | 7 | 4 | 29 | 20 | 9 | 22 |
| 12 | BarrowBarrow | 16 | 6 | 4 | 6 | 17 | 15 | 2 | 22 |
| 13 | Fleetwood TownFleetwood | 14 | 5 | 6 | 3 | 20 | 15 | 5 | 21 |
| 14 | Salford City | 16 | 5 | 6 | 5 | 15 | 18 | -3 | 21 |
| 15 | Newport CountyNewport | 16 | 6 | 2 | 8 | 19 | 26 | -7 | 20 |
| 16 | Accrington StanleyAccrington | 16 | 4 | 6 | 6 | 22 | 26 | -4 | 18 |
| 17 | Cheltenham TownCheltenham | 16 | 5 | 3 | 8 | 21 | 25 | -4 | 18 |
| 18 | Harrogate TownHarrogate | 16 | 5 | 3 | 8 | 14 | 22 | -8 | 18 |
| 19 | Tranmere RoversTranmere | 14 | 4 | 5 | 5 | 10 | 17 | -7 | 17 |
| 20 | Bromley | 15 | 3 | 7 | 5 | 17 | 19 | -2 | 16 |
| 21 | Colchester UnitedColchester | 15 | 2 | 8 | 5 | 18 | 22 | -4 | 14 |
| 22 | Swindon TownSwindon | 16 | 2 | 7 | 7 | 18 | 25 | -7 | 13 |
| 23 | Carlisle UnitedCarlisle | 16 | 3 | 3 | 10 | 14 | 29 | -15 | 12 |
| 24 | Morecambe | 16 | 2 | 4 | 10 | 14 | 27 | -13 | 10 |
| > League Two Full Table | |||||||||
