I really don't want to wade into this murky business.
Tips
usage
蹚 literally describes pushing through water, mud, or tall grass. The set phrase 蹚浑水 (tāng húnshuǐ, 'wade in muddy water') is figurative — it means getting mixed up in a messy or shady situation.
memory
The 足 (foot) radical on the left tells you it's something done with the feet, while 堂 on the right gives the sound. Picture stepping into a hall (堂) with wet feet (足).