I think the claim that Labour is Unelectable with Corbyn as Leader is still under question generally, but I will probably vote Labour if he is still in charge in 2020:
Oldham West and Royton by Election 3 Dec 15
Local Council Election
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The party won a marginal ward on the Conservative-controlled Cherwell District Council on a swing of more than 6 per cent. Voting in the Banbury Grimsbury & Castle seat in north Oxfordshire followed the death of a Conservative councillor.
Figures of recent Local elections from Conservative Home Page
http://www.conservativehome.com/tag/by-election-results" onclick="window.open(this.href);return false;
28 Jan Stockton-on-Tees – Parkbridge and Oxbridge
Council by-election result from yesterday
Labour 598 (52.5 per cent, +6.7 on 2015), Conservatives 363 (31.9 per cent, +4.8), UKIP 113 (9.9 per cent, +9.9), Lib Dems 65 (5.7 per cent, +0.2) All parties standing increased their vote share as in the contest last year there were others standing that did not stand this time – including an Independent and a Green Party candidate.
11 Feb 2016: Labour increase vote in each ward
Bolton MB – Crompton
Labour 1,961 (70.9 per cent, +10.5 on 2015), UKIP 320 (11.6 per cent, -9.5), Conservatives 302 (10.9 per cent, -0.7), Lib Dems 117 (4.2 per cent, +0.5), Green Party 65 (2.4 per cent, +2.4 per cent)
Labour hold
Coventry MB – Lower Stoke
Labour 1,235 (57.5 per cent, +7.9 on 2015) Conservatives 344 (16 per cent, -5.2) UKIP 290 (13.5, -4.8) Green Party 154 (7.2 per cent, +1.1) Lib Dems 124 (5.8 per cent, +5.8)
Labour hold
Eastleigh BC – West End North
Lib Dems 582 (53 per cent, +13.2 since 2015) Conservatives 315 (28.7 per cent, -6.4) UKIP 115 (10.5 per cent, 4.9) Lab 58 (5.3 per cent, +4.3) Green Party 28 (2.6 per cent, +2.6)
Lib Dems hold
Hounslow LB – Cranford
Labour 1,254 (55 per cent, +0.3 on 2014), Conservatives 637 (27.9 per cent, +2.1), Lib Dems 265 (11.6 per cent, +5.5), UKIP 76 (3.3 per cent, -10.0), Green Party 48 (2.1 per cent, +2.1)
Labour hold
But I think May this year will be the real test.