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The 34-year-old winger was a free agent after departing Turkish side Kayserispor.
Former England international Lennon joined Burnley from Everton in 2018 and played 41 Premier League matches, scoring once, before leaving two years later.
The Clarets said on Twitter: "We are delighted to confirm that winger Aaron Lennon has agreed a deal to return to Turf Moor as a Burnley player."
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| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Manchester CityMan City | 37 | 27 | 7 | 3 | 93 | 33 | 60 | 88 |
| 2 | Arsenal | 37 | 27 | 5 | 5 | 89 | 28 | 61 | 86 |
| 3 | Liverpool | 37 | 23 | 10 | 4 | 84 | 41 | 43 | 79 |
| 4 | Aston Villa | 37 | 20 | 8 | 9 | 76 | 56 | 20 | 68 |
| 5 | Tottenham HotspurSpurs | 37 | 19 | 6 | 12 | 71 | 61 | 10 | 63 |
| 6 | Chelsea | 37 | 17 | 9 | 11 | 75 | 62 | 13 | 60 |
| 7 | Newcastle UnitedNewcastle | 37 | 17 | 6 | 14 | 81 | 60 | 21 | 57 |
| 8 | Manchester UnitedMan Utd | 37 | 17 | 6 | 14 | 55 | 58 | -3 | 57 |
| 9 | West Ham UnitedWest Ham | 37 | 14 | 10 | 13 | 59 | 71 | -12 | 52 |
| 10 | Brighton & Hove AlbionBrighton | 37 | 12 | 12 | 13 | 55 | 60 | -5 | 48 |
| 11 | Bournemouth | 37 | 13 | 9 | 15 | 53 | 65 | -12 | 48 |
| 12 | Crystal Palace | 37 | 12 | 10 | 15 | 52 | 58 | -6 | 46 |
| 13 | Wolverhampton WanderersWolves | 37 | 13 | 7 | 17 | 50 | 63 | -13 | 46 |
| 14 | Fulham | 37 | 12 | 8 | 17 | 51 | 59 | -8 | 44 |
| 15 | Everton | 37 | 13 | 9 | 15 | 39 | 49 | -10 | 40 |
| 16 | Brentford | 37 | 10 | 9 | 18 | 54 | 61 | -7 | 39 |
| 17 | Nottingham ForestNott'm Forest | 37 | 8 | 9 | 20 | 47 | 66 | -19 | 29 |
| 18 | Luton TownLuton | 37 | 6 | 8 | 23 | 50 | 81 | -31 | 26 |
| R | Burnley | 37 | 5 | 9 | 23 | 40 | 76 | -36 | 24 |
| R | Sheffield UnitedSheff Utd | 37 | 3 | 7 | 27 | 35 | 101 | -66 | 16 |
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