Perhaps from зуд (zud) + -е́ть (-étʹ). <span class="searchmatch">зуде́ть</span> • (zudétʹ) impf (colloquial) to itch Conjugation of <span class="searchmatch">зуде́ть</span> (class 5b imperfective intransitive) раззуде́ться...
IPA(key): [zʊˈdʲelʲɪ] зуде́ли • (zudéli) plural past indicative imperfective of <span class="searchmatch">зуде́ть</span> (zudétʹ)...
IPA(key): [zʊˈdʲefʂɨ] зуде́вши • (zudévši) past adverbial imperfective participle of <span class="searchmatch">зуде́ть</span> (zudétʹ)...
IPA(key): [zʊˈdʲi] зуди́ • (zudí) second-person singular imperative imperfective of <span class="searchmatch">зуде́ть</span> (zudétʹ)...
IPA(key): [zʊˈdʲeɫə] зуде́ло • (zudélo) neuter singular past indicative imperfective of <span class="searchmatch">зуде́ть</span> (zudétʹ)...
IPA(key): [zʊˈdʲeɫ] зуде́л • (zudél) masculine singular past indicative imperfective of <span class="searchmatch">зуде́ть</span> (zudétʹ)...
IPA(key): [zʊˈdʲef] зуде́в • (zudév) short past adverbial imperfective participle of <span class="searchmatch">зуде́ть</span> (zudétʹ)...
IPA(key): [zʊˈdʲiʂ] зуди́шь • (zudíšʹ) second-person singular present indicative imperfective of <span class="searchmatch">зуде́ть</span> (zudétʹ)...
IPA(key): [zʊˈʐu] зужу́ • (zužú) first-person singular present indicative imperfective of <span class="searchmatch">зуде́ть</span> (zudétʹ)...
IPA(key): [zʊˈdʲeɫə] зуде́ла • (zudéla) feminine singular past indicative imperfective of <span class="searchmatch">зуде́ть</span> (zudétʹ)...