Leydig cell tumors can be stimulated (perhaps even started) by excess estrogen and/or LH (usually from HPA dysfunction), so there may be an association there in some cases even though cause/effect is reversed.
Additionally, even though most produce testosterone some can intrinsically produce progesterone and/or estradiol. Finally, increases in estrogen can occur from peripheral aromatization of the excess testosterone in obese individuals, though I would think that is the least likely scenario to produce new gynecomastia observed in combination with the tumor's appearance.