"heavy fight" is a correct and usable phrase in written English.
It is often used to describe a particularly hard or vigorous battle or struggle, and can be used in any context where a difficult fight or struggle is being discussed. For example, "The final battle of the war was a heavy fight, with the two sides fighting until the bitter end."
This began a heavy fight which lasted all morning.
"Drake Force", consisting of the Australian 2/12th Battalion and attachments, landed on the southern tip of Goodenough Island at Mud Bay and Taleba Bay on 22 October, and following a short but heavy fight, the Japanese forces withdrew to Fergusson Island on 27 October.
Outside, the headlines in the newspaper boxes told him why: "Twelve Marines Killed in Heavy Fighting".
Yesterday: Heavy Fighting TROOPS NEAR BAGHDAD -- Troops west of the Euphrates approach Karbala after engaging Iraqs Republican Guard for the first time in Najaf.
Related: Yemen Peace Talks Continue Despite Reports of Heavy Fighting Near Saudi Border.
Shanina's bravery received praise already during her lifetime, but came at odds with the Soviet policy of sparing snipers from heavy fights.
Just north of Debaltseve, a government-held enclave where thousands of Ukrainian troops are surrounded on three sides by separatist forces, heavy fights broke out near Popasnaya and Mironovskiy.
During the operation, the police had banned all press from the site (a debatable violation of ruling press law, since there weren't any war crimes or heavy fights going on) but we managed to get onto a friend's roof terrace nearby, until the tank came to smash in the gates.
In a heavy engagement fought in calm weather in the close confines of Algeciras Bay, the British force was becalmed and battered, suffering heavy casualties and losing the ship HMS Hannibal.
Through the halls of Congress and well beyond, a whisper campaign is bursting into the open: Rather than burden him with the usual constraints on a ticket's No. 2 not to upstage or get ahead of the presidential nominee, let Ryan be Ryan and take a detailed, policy-heavy fight to President Obama and the Democrats.
In one heated scene, Littrell and Carter get into a curse-heavy fight during which Carter shouts: "I'm not afraid of you anymore!
