Summarized in two headlines:
Today: Chomsky helped lobby Hawking to boycott Israel event
Last October: Islamic University of Gaza awards honorary doctorate to Chomsky
You might assume that Chomsky at least avoided meeting with officials of the repressive, theocratic, dictatorial, anti-Semitic, government of Gaza, which, at the very time of Chomsky’s visit was lobbing rockets at Israeli civilians (92 attacks in October, involving 171 rockets and mortars) in violation of the most basic international human rights norms. You’d be wrong: “Prof Chomsky also met with a number of civil society leaders and government officials, including Prime Minister Ismail Haniyeh, who thanked him for his outstanding support.”
UPDATE: It’s also worth noting that Islamic University, founded by the Muslim Brotherhood and closely associated with Hamas, is itself hardly a bastion of liberalism.
FURTHER UPDATE: Also note that as a proponent of a two-state solution, as opposed to eliminating Israel, Chomsky is on the “right” of the BDS movement. [And as a commenter points out, Chomsky has previously supported only |boycott and divestment of firms that are carrying out operations in the occupied territories” and was a vocal opponent of BDS more generally.]